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Synthetic Study on Dynamical Systems in Mathematical Biology

Research Project

Project/Area Number 13304006
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionShizuoka University

Principal Investigator

TAKEUCHI Yasuhiro  Shizuoka University, Faculty of Engineering, Professor, 工学部, 教授 (20126783)

Co-Investigator(Kenkyū-buntansha) MIMURA Masayasu  Meiji University, Science, Professor, 理学部, 教授 (50068128)
IWASA Yoh  Kyushu University, Science, Professor, 理学研究科, 教授 (70176535)
NAMBA Toshiyuki  Osaka Pref.University, Engineering, Professor, 理学部, 教授 (30146956)
FURUMOCHI Tetsuo  Shimane University, Science and Engineering, Professor, 総合理工学部, 教授 (40039128)
INABA Satoshi  The University of Tokyo, Mathematics, Professor, 数理科学研究科, 助教授 (80282531)
原 惟行  大阪府立大学, 工学研究科, 教授 (20029565)
Project Period (FY) 2001 – 2004
Project Status Completed (Fiscal Year 2004)
Budget Amount *help
¥46,020,000 (Direct Cost: ¥35,400,000、Indirect Cost: ¥10,620,000)
Fiscal Year 2004: ¥9,230,000 (Direct Cost: ¥7,100,000、Indirect Cost: ¥2,130,000)
Fiscal Year 2003: ¥9,230,000 (Direct Cost: ¥7,100,000、Indirect Cost: ¥2,130,000)
Fiscal Year 2002: ¥9,880,000 (Direct Cost: ¥7,600,000、Indirect Cost: ¥2,280,000)
Fiscal Year 2001: ¥17,680,000 (Direct Cost: ¥13,600,000、Indirect Cost: ¥4,080,000)
Keywordsmathematical biology / dynamical systems / differential equations / time delays / chaos / permanence
Research Abstract

The outline of the research project for four years is as follows.
(1)We held three international conferences. The first conference was the International Conference on Mathematical and Theoretical Biology held at Hilo in Hawaii during 16^<th> and 19^<th> of July in 2001. The head investigator of the project was the representative from Japan side of the organizing committee. Almost all members of the project participated the conference and discussed on the dynamical systems theory in mathematical biology. The second meeting was Biomathematics Euro Summer School "Dynamical Systems in Physiology and Medicine" held at Urbino, Italy during 8^<th> and 19^<th> of July in 2002. The head investigator of the project was one of the organizing committee. The last conference was the International symposium on "Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences" held at Hamamatsu Japan during 14^<th> and 17^<th> of March in 2004. More than 200 people including 50 people from oversea participated on the symposium. In particular, young Japanese researchers have attracted attention from many overseas researchers. Many joint researches were initiated from the symposium. Over 50 papers will be published from the international journals and two books summarized the state of the art of mathematical biology will be published from Springer.
(2)We held 7 national meetings on the differential equations and its application to biology.
(3)The 4 seminars were held to study new books or important classical books in mathematical biology in training camp form. Especially many students and young researchers participated the camp.
(4)We have plans for international conference on dynamical systems theory in biology at Chongqing in 2006, in Hamamatsu and San Jose in 2007.
The project has contributed to develop the dynamical systems theory research in the mathematical biology and promoted national and international joint researches.

Report

(5 results)
  • 2004 Annual Research Report   Final Research Report Summary
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (280 results)

All 2005 2004 Other

All Journal Article (139 results) Book (2 results) Publications (139 results)

  • [Journal Article] A Time-Delay Model for Prey-Predator Growth with Stage Structure2005

    • Author(s)
      Y.Saito, Y.Takeuchi
    • Journal Title

      Canad.Applied Math.Quat 11

      Pages: 293-301

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A Predator-Prey Model with Inverse Trophic Relation and Time Delay2005

    • Author(s)
      Y.Saito, Y.Takeuchi
    • Journal Title

      Nonl.Analysis : Real World Applications 6

      Pages: 637-649

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence of a single-species dispersal system and predator survival2005

    • Author(s)
      J.Cui, Y.Takeuchi
    • Journal Title

      Journal of Computational and Applied Mathematic 175

      Pages: 375-394

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Frequency of Stochastic Oscillations in Interacting Population Models2005

    • Author(s)
      Satoru Morita, Yu Ito, Kei-ichi Tainaka
    • Journal Title

      J.Phys.Soc.Japan 74

      Pages: 819-822

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A Time-Delay Model for Prey-Predator Growth with Stage Structure2005

    • Author(s)
      Y.Saito, Y.Takeuchi
    • Journal Title

      Canad.Applied Math.Quat. Vol, 11/3

      Pages: 293-301

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A Predator-Prey Model with Inverse Trophic Relation and Time Delay2005

    • Author(s)
      Y.Saito, Y.Takeuchi
    • Journal Title

      Nonl.Analysis : Real World Applications Vol.6, Issue 4

      Pages: 637-649

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence of a single-species dispersal system and predator survival2005

    • Author(s)
      J.Cui, Y.Takeuchi
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.175, Issue 2

      Pages: 375-394

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Frequency of Stochastic Oscillations in Interacting Population Models2005

    • Author(s)
      Satoru Morita, Yu Ito, Kei-ichi Tainaka
    • Journal Title

      J.Phys.Soc.Japan. Vol.74

      Pages: 819-822

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence of a single-species dispersal system and predator survival2005

    • Author(s)
      J.Cui
    • Journal Title

      Journal of Computational and Applied Mathematics 175・2

      Pages: 375-394

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Virus evolution within patients increases pathogenicity2005

    • Author(s)
      Iwasa, Y.
    • Journal Title

      Journal of Theoretical Biology 232

      Pages: 17-26

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Extinction risk of a meta-population : aggregation approach2005

    • Author(s)
      Hakoyama, H.
    • Journal Title

      Journal of Theoretical Biology 232

      Pages: 203-216

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Can chromosomal instability initiate tumorigenesis?2005

    • Author(s)
      Michor, F.
    • Journal Title

      Seminars in Cancer Biology 15

      Pages: 43-39

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Permanence of single-species stage-structured models2004

    • Author(s)
      R.Kon, Y.Saito, Y.Takeuchi
    • Journal Title

      J.Math.Biol. 8

      Pages: 515-528

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymtotic properties of a delayed SIR epidemic model with density dependent birth rate2004

    • Author(s)
      W.Ma, Y.Takeuchi
    • Journal Title

      Discrete and Continuous Dynamical Systems-Series B 4

      Pages: 673-680

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Population dynamics of sea bass and young sea bass2004

    • Author(s)
      M.Yamaguchi, Y.Takeuchi, W.Ma
    • Journal Title

      Discrete and Continuous Dynamical Systems-Series B 3

      Pages: 833-840

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dynamical behavior of Lotka-Volterra competition systems : non-autonomous bistable case and the effect of telegraph noises2004

    • Author(s)
      N.H.Du, R.Kon, K.Sato, Y.Takeuchi
    • Journal Title

      J.Computational and Applied Mathematics 170

      Pages: 399-422

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Global stability of an $SIR$ epidemicmodel with time delay2004

    • Author(s)
      Wanbiao Ma, Mei Song, Y.Takeuchi
    • Journal Title

      Applied Math.Letters 17

      Pages: 1141-1145

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence and Extinction for Dispersal Population Systems2004

    • Author(s)
      J.Cui, Y.Takeuchi, Z.Lin
    • Journal Title

      J.Math.Anal.Appl 298

      Pages: 73-93

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Phase Interspecific Segregation in a Lattice Ecosystem with Intraspecific Competition2004

    • Author(s)
      Kei-ichi Tainaka, Masashi Kushida, Yu Ito, Jin Yoshimura
    • Journal Title

      J.Phys.Soc.Japan 73

      Pages: 2914-2915

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatial Enhancement of Population Uncertainty near the Extinction Threshold2004

    • Author(s)
      Y.Itoh, K.Tainaka, Tomoyuki Sakata, Tomomi Tao, Nariyuki Nakagiri.
    • Journal Title

      Ecological Modelling 174

      Pages: 191-201

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Indirect effects of habitat destruction in model ecosystems2004

    • Author(s)
      Nariyuki Nakagiri, K.Tainaka
    • Journal Title

      Ecological Modelling 174

      Pages: 103-114

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatial Enhancement of Population Uncertainty in model ecosystems2004

    • Author(s)
      Y.Itoh, K.Tainaka
    • Journal Title

      J.Phys.Soc.Japan 73

      Pages: 53-59

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Evolution of rumors that discriminate lying defectors2004

    • Author(s)
      Nakamaru, M., Kawat, M
    • Journal Title

      Evolutionary Ecology Research 6

      Pages: 261-283

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spread of two linked social norms on complex interaction network2004

    • Author(s)
      Nakamaru, M., Levin, S.
    • Journal Title

      Journal of theoretical biology 230

      Pages: 57-64

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A note on attenuant cycles of population models with periodic carrying capacity2004

    • Author(s)
      Ryusuke Kon
    • Journal Title

      Journal of Difference Equations and Applications 10

      Pages: 791-793

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence of discrete-time Kolmogorov systems for two Species and saturated fixed points2004

    • Author(s)
      Ryusuke Kon
    • Journal Title

      Journal of Mathematical Biology 48

      Pages: 57-81

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Modelling the range expansion of pine wilt disease.2004

    • Author(s)
      Mimura, Y., Kawasaki, K., Takasu, F., Shigesada, N.
    • Journal Title

      Nematology Monographs and Perspectives 2

      Pages: 843-853

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions2004

    • Author(s)
      E.C.M.Crooks, E.N.Dancer, D.Hilhorst, M.Mimura, H.Ninomiya
    • Journal Title

      Nonlinear Analysis, Series A

      Pages: 645-665

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Pattern Formation in Consumer-Finite Resource Reaction-Diffusion Systems2004

    • Author(s)
      M.Mimura
    • Journal Title

      Publ.RIMS, Kyoto Univ. 40

      Pages: 413-1431

    • NAID

      110001052100

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Annual Research Report 2004 Final Research Report Summary
  • [Journal Article] Stability regions for linear differential equations with two kinds of time lags2004

    • Author(s)
      S.Sakata, T.Hara
    • Journal Title

      Funkcial.Ekvac 47

      Pages: 129-144

    • NAID

      130000141123

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Stabilities in Volterra difference equations on a Banach space2004

    • Author(s)
      Tetsuo Furumochi, Satoru Murakami, Yutaka Nagabuchi
    • Journal Title

      Fields Institute Communications 42

      Pages: 159-176

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem2004

    • Author(s)
      Tetsuo Furumochi
    • Journal Title

      Proc.7th Coll.QTDE 10

      Pages: 1-11

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Volterra difference equations on a Banach space and abstract differential equations with piecewise continuous delays2004

    • Author(s)
      Tetsuo Furumochi, Satoru Murakami, Yutaka Nagabuchi
    • Journal Title

      Japanese Journal of Mathematics 30

      Pages: 387-412

    • NAID

      10014334745

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A generalization of Wiener's lemma and its application to Volterra difference equations on a Banach space2004

    • Author(s)
      Tetsuo Furumochi, Satoru Murakami, Yutaka Nagabuchi
    • Journal Title

      J.Difference Equations and Applications 10

      Pages: 1201-1214

    • NAID

      120005587462

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dispersal mediated coexistence of competing predators2004

    • Author(s)
      Namba, T., Hashimoto, C.
    • Journal Title

      Theoretical Population Biology 66

      Pages: 53-70

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optimal growth model for the latitudinal cline of shell morphology in cowries (genus Cypraea)2004

    • Author(s)
      Irie, T., Y.Iwasa
    • Journal Title

      Evolutionary Ecology Research 5

      Pages: 1133-1149

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Coexistence of a sexual and a unisexual forms by parasites2004

    • Author(s)
      Hakoyama, H., Y.Iwasa
    • Journal Title

      Journal of Theoretical Biology 226

      Pages: 185-194

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Evolutionary dynamics of invasion and escape2004

    • Author(s)
      Iwasa, Y., F.Michor, M.Nowak
    • Journal Title

      Journal of Theoretical Biology 226

      Pages: 205-214

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Estimating local interaction from spatio-temporal forest data, and Monte Carlo Bias Correction2004

    • Author(s)
      Satake, A., Y.Iwasa, H.Hakoyama, S.P.Hubbell
    • Journal Title

      Journal of Theoretical Biololgy 226

      Pages: 225-235

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dynamics of cancer progression2004

    • Author(s)
      Michor, F., Y.Iwasa, M.A.Nowak
    • Journal Title

      Nature Review Cancer 4

      Pages: 197-205

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mechanisms inducing spatially extended synchrony in mast seeding : the role of pollen coupling and environmental fluctuation2004

    • Author(s)
      Iwasa, Y., A.Satake
    • Journal Title

      Ecological Research 19

      Pages: 13-20

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A linear model of colon cancer initiation2004

    • Author(s)
      Michor, F., Y.Iwasa, H.Rajagopalan, C.Lengauer, M.A.Nowak
    • Journal Title

      Cell Cycle 3

      Pages: 358-362

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dynamic optimization of defense, immune memory, and post-infection pathogen levels in mammals2004

    • Author(s)
      Shudo, E., Y.Iwasa
    • Journal Title

      Journal of Theoretical Biology 228

      Pages: 17-29

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Stochastic tunnels in evolutionary dynamics2004

    • Author(s)
      Iwasa, Y., F.Michor, M.A.Nowak
    • Journal Title

      Genetics 166

      Pages: 1571-1579

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Some basic properties of immune selection2004

    • Author(s)
      Iwasa, Y., F.Michor, M.A.Nowak
    • Journal Title

      Journal of Theoretical Biology 229

      Pages: 179-188

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Evolutionary dynamics of tumor suppressor gene inactivation2004

    • Author(s)
      Nowak, M.A., F.Michor, N.L.Komarova, Y.Iwasa
    • Journal Title

      Proc.Natl.Acad.Sci.USA 101

      Pages: 10635-10638

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Forest gap dynamics and the Ising model2004

    • Author(s)
      Schlicht, R., Y.Iwasa
    • Journal Title

      Journal of Theoretical Biology 230

      Pages: 65-75

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Multiple-year optimization of conservation effort and monitoring effort for a fluctuating population2004

    • Author(s)
      Yokomizo, H., P.Haccou, Y.Iwasa
    • Journal Title

      Journal of Theoretical Biology 230

      Pages: 157-171

    • NAID

      130007010558

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatio-temporal development of forests--current trends in field studies and model2004

    • Author(s)
      Gratzer, G., C.Canham, U.Dieckmann, A.Fischer, Y.Iwasa, R., Law, M.Lexer, H.Sandman, T.Spies, B.Splechtna, J.Szwagrzyk
    • Journal Title

      Oikos 107

      Pages: 3-15

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] How should we define goodness? -- reputation dynamics in indirect reciprocity2004

    • Author(s)
      Ohtsuki, H., Y.Iwasa
    • Journal Title

      Journal of Theoretical Biology 231

      Pages: 107-120

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On the emergence of multifocal cancers2004

    • Author(s)
      Wodarz, D., N.Komarova, Y.Iwasa
    • Journal Title

      Journal of Carcinogenesis 3

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A note on stability analysis of pathogen-immune interaction dynamics2004

    • Author(s)
      T.Kajiwara, T.Sasaki
    • Journal Title

      Discrete and Continuous Dynamical Systems 4

      Pages: 615-622

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A mathematical model for Chagas disease with infection-age-dependent infectivity2004

    • Author(s)
      H.Inaba, H.Sekine
    • Journal Title

      Mathematical Biosciences 190

      Pages: 39-69

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The effect of local prevention in an SIS model with diffusion2004

    • Author(s)
      Toru Sasaki
    • Journal Title

      Discrete Contin.Dyn.Syst.Ser.B 4

      Pages: 739-746

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence of single-species stage-structured models2004

    • Author(s)
      R.Kon, Y.Saito, Y.Takeuchi
    • Journal Title

      J.Math.Biol. Vol.8, No.5

      Pages: 515-528

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate2004

    • Author(s)
      W.Ma, Y.Takeuchi
    • Journal Title

      Discrete and Continuous Dynamical Systems-Series B Vol.4, No.3

      Pages: 673-680

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Population dynamics of sea bass and young sea bass2004

    • Author(s)
      M.Yamaguchi, Y.Takeuchi, W.Ma
    • Journal Title

      Discrete and Continuous Dynamical Systems-Series B Vol.4, No.3

      Pages: 833-840

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dynamical behavior of Lotka-Volterra competition systems : non-autonomous bistable case and the effect of telegraph noises2004

    • Author(s)
      N.H.Du, R.Kon, K.Sato, Y.Takeuchi
    • Journal Title

      J.Computational and Applied Mathematics. Vol 170/2

      Pages: 399-422

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Global stability of an $SIR$ epidemic model with time delay2004

    • Author(s)
      Wanbiao Ma, Mei Song, Y.Takeuchi
    • Journal Title

      Applied Math.Letters 17, no.10

      Pages: 1141-1145

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence and Extinction for Dispersal Population Systems2004

    • Author(s)
      J.Cui, Y.Takeuchi, Z.Lin
    • Journal Title

      J.Math.Anal.Appl. Vol 298/1

      Pages: 73-93

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Phase Interspecific Segregation in a Lattice Ecosystem with Intraspecific Competition2004

    • Author(s)
      Kei-ichi Tainaka, Masashi Kushida, Yu Ito, Jin Yoshimura
    • Journal Title

      J.Phys.Soc.Japan. Vol.73

      Pages: 2914-2915

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatial Enhancement of Population Uncertainty near the Extinction Threshold.2004

    • Author(s)
      Y.Itoh, K.Tainaka, Tomoyuki Sakata, Tomomi Tao, Nariyuki Nakagiri.
    • Journal Title

      Ecological Modelling. Vol.174

      Pages: 191-201

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Indirect effects of habitat destruction in model ecosystems.2004

    • Author(s)
      Nariyuki Nakagiri, K.Tainaka.
    • Journal Title

      Ecological Modelling. Vol.174

      Pages: 103-114

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatial Enhancement of Population Uncertainty in model ecosystems.2004

    • Author(s)
      Y.Itoh, K.Tainaka
    • Journal Title

      J.Phys.Soc.Japan Vol.73

      Pages: 53-59

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Evolution of rumors that discriminate lying defectors.2004

    • Author(s)
      Nakamaru, M., Kawat, M.
    • Journal Title

      Evolutionary Ecology Research 6

      Pages: 261-283

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spread of two linked social norms on complex interaction network.2004

    • Author(s)
      Nakamaru, M., Levin, S.A.
    • Journal Title

      Journal of theoretical biology 230

      Pages: 57-64

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence of discrete-time Kolmogorov systems for two species and saturated fixed points2004

    • Author(s)
      Ryusuke Kon
    • Journal Title

      Journal of Mathematical Biology 48

      Pages: 57-81

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Modelling the range expansion of pine wilt disease.2004

    • Author(s)
      Mimura, Y., Kawasaki, K., Takasu, F., Shigesada, N.
    • Journal Title

      Nenlatology Monographs and Perspectives (Eds.R.C.Cook., D.J.Hunt)(Brill Academic Pub.) Vol.2

      Pages: 843-853

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatial segregation limit of a competition diffusion system with Dirichlet boundary conditions.2004

    • Author(s)
      E.C.M.Crooks, E.N.Dancer, D.Hilhorst, M.Mimura, H.Ninomiya
    • Journal Title

      Nonlinear Analysis, Series A

      Pages: 645-665

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Stability regions for linear differential equations with two kinds of time lags2004

    • Author(s)
      S.Sakata, T.Hara
    • Journal Title

      Funkcial.Ekvac. 47

      Pages: 129-144

    • NAID

      130000141123

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Volterra difference equations on a Banach space and abstract differential equations with piecewise continuous delays2004

    • Author(s)
      Tetsuo Furumochi, Satoru Murakami, Yutaka Nagabuchi
    • Journal Title

      Japanese Journal of Mathematics 30-2

      Pages: 387-412

    • NAID

      10014334745

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dispersal mediated coexistence of competing predators.2004

    • Author(s)
      Namba, T., Hashimoto, C.
    • Journal Title

      Theoretical Population Biology 66(1)

      Pages: 53-70

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Optimal growth model for the latitudinal cline of shell morphology in cowries (genus Cypraea).2004

    • Author(s)
      Irie, T., Y.Iwasa.
    • Journal Title

      Evolutionary Ecology Research 5

      Pages: 1133-1149

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Coexistence of a sexual and a unisexual forms by parasites.2004

    • Author(s)
      Hakoyama, H., Y.Iwasa.
    • Journal Title

      Journal of Theoretical Biology 226

      Pages: 185-194

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Evolutionary dynamics of invasion and escape.2004

    • Author(s)
      Iwasa, Y., F.Michor, M.Nowak.
    • Journal Title

      Journal of Theoretical Biology 226

      Pages: 205-214

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Estimating local interaction from spatio-temporal forest data, and Monte Carlo Bias Correction.2004

    • Author(s)
      Satake, A., Y.Iwasa, H.Hakoyama, S.P.Hubbell.
    • Journal Title

      Journal of Theoretical Biololgy 226

      Pages: 225-235

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dynamics of cancer progression.2004

    • Author(s)
      Michor, F., Y.Iwasa, M.A.Nowak.
    • Journal Title

      Nature Review Cancer 4

      Pages: 197-205

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Mechanisms inducing spatially extended synchrony in mast seeding : the role of pollen coupling and environmental fluctuation2004

    • Author(s)
      Iwasa, Y., A.Satake.
    • Journal Title

      Ecological Research 19

      Pages: 13-20

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] A linear model of colon cancer initiation.2004

    • Author(s)
      Michor, F., Y.Iwasa, H.Rajagopalan, C.Lengauer, M.A.Nowak.
    • Journal Title

      Cell Cycle 3

      Pages: 358-362

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Dynamic optimization of defense, immune memory, and post-infection pathogen levels in mammals.2004

    • Author(s)
      Shudo, E., Y.Iwasa.
    • Journal Title

      Journal of Theoretical Biology 228

      Pages: 17-29

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Stochastic tunnels in evolutionary dynamics.2004

    • Author(s)
      Iwasa, Y., F.Michor, M.A.Nowak.
    • Journal Title

      Genetics 166

      Pages: 1571-1579

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Some basic properties of immune selection.2004

    • Author(s)
      Iwasa, Y., F.Michor, M.A.Nowak.
    • Journal Title

      Journal of Theoretical Biology 229

      Pages: 179-188

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Evolutionary dynamics of tumor suppressor gene inactivation.2004

    • Author(s)
      Nowak, M.A., F.Michor, N.L.Komarova, Y.Iwasa.
    • Journal Title

      Proc.Natl.Acad.Sci.USA 101

      Pages: 10635-10638

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Forest gap dynamics and the Ising model.2004

    • Author(s)
      Schlicht, R., Y Iwasa.
    • Journal Title

      Journal of Theoretical Biology 230

      Pages: 65-75

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Multiple-year optimization of conservation effort and monitoring effort for a fluctuating population.2004

    • Author(s)
      Yokomizo, H., P.Haccou, Y.Iwasa.
    • Journal Title

      Journal of Theoretical Biology 230

      Pages: 157-171

    • NAID

      130007010558

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Spatio-temporal development of forests--current trends in field studies and model.2004

    • Author(s)
      Gratzer, G., C.Canham, U.Dieckmann, A.Fischer, Y.Iwasa, R., Law, M.Lexer, H.Sandman, T.Spies, B.Splechtna, J.Szwagrzyk.
    • Journal Title

      Oikos 107

      Pages: 3-15

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] How should we define goodness? -reputation dynamics in indirect reciprocity.2004

    • Author(s)
      Ohtsuki, H., Y.Iwasa.
    • Journal Title

      Journal of Theoretical Biology 231

      Pages: 107-120

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] On the emergence of multifocal cancers.2004

    • Author(s)
      Wodarz, D., N.Komarova, Y.Iwasa.
    • Journal Title

      Journal of Carcinogenesis 3, 13

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] The effect of local prevention in an SIS model with diffusion2004

    • Author(s)
      Toru Sasaki
    • Journal Title

      Discrete Contin.Dyn.Syst.Ser.B Vol.4 (3)

      Pages: 739-746

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2004 Final Research Report Summary
  • [Journal Article] Permanence and Extinction for Dispersal Population Systems2004

    • Author(s)
      J.Cui
    • Journal Title

      J.Math.Anal.Appl. 298・1

      Pages: 73-93

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Global stability of an $SIR$ epidemic model with time delay2004

    • Author(s)
      Wanbiao Ma
    • Journal Title

      Applied Math.Letters 17・10

      Pages: 1141-1145

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Dynamical behavior of Lotka-Volterra competition systems : non-autonomous bistable case and the effect of telegraph noises2004

    • Author(s)
      N.H.Du
    • Journal Title

      J.Computational and Applied Mathematics 170・2

      Pages: 399-422

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Population dynamics of sea bass and young sea bass2004

    • Author(s)
      M.Yamaguchi
    • Journal Title

      Discrete and Continuous Dynamical Systems-Series B 4・3

      Pages: 833-840

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate2004

    • Author(s)
      W.Ma
    • Journal Title

      Discrete and Continuous Dynamical Systems-Series B 4・3

      Pages: 673-680

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Permanence of single-species stage-structured models2004

    • Author(s)
      R.Kon
    • Journal Title

      J.Math.Biol. 8・5

      Pages: 515-528

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Stability analysis of the Kaldor model with time delays : Monetary policy and government budget constraints2004

    • Author(s)
      Y.Takeuchi
    • Journal Title

      Nonl.Anal.Series B Real World Applications 5・2

      Pages: 277-308

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A mathematical model for Chagas disease with infection-age-dependent infectivity2004

    • Author(s)
      H.Inaba
    • Journal Title

      Mathematical Biosciences 190

      Pages: 39-69

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Dispersal mediated coexistence of competing predators.2004

    • Author(s)
      Namba, T.
    • Journal Title

      Theoretical Population Biology 66・1

      Pages: 53-70

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spread of two linked social norms on complex interaction network2004

    • Author(s)
      Nakamaru, M.
    • Journal Title

      Journal of theoretical biology 230

      Pages: 57-64

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Evolution of rumors that discriminate lying defectors2004

    • Author(s)
      Nakamaru, M.
    • Journal Title

      Evolutionary Ecology Research 6

      Pages: 261-283

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Modelling the range expansion of pine wilt disease2004

    • Author(s)
      Mimura, Y.
    • Journal Title

      Nematology Monographs and Perspectives(Brill Academic Pub) 2

      Pages: 843-853

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A note on attenuant cycles of population models with periodic carrying capacity2004

    • Author(s)
      Kon, R.
    • Journal Title

      Journal of Difference Equations and Applications 10

      Pages: 791-793

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Coexistence of a sexual and a unisexual forms by parasites2004

    • Author(s)
      Hakoyama, H.
    • Journal Title

      Journal of Theoretical Biology 226

      Pages: 185-194

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Evolutionary dynamics of invasion and escape2004

    • Author(s)
      Iwasa, Y.
    • Journal Title

      Journal of Theoretical Biology 226

      Pages: 205-214

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Estimating local interaction from spatio-temporal forest data, and Monte Carlo Bias Correction2004

    • Author(s)
      Satake, A.
    • Journal Title

      Journal of Theoretical Biology 226

      Pages: 225-235

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Dynamics of cancer progression2004

    • Author(s)
      Michor, F.
    • Journal Title

      Nature Review Cancer 4

      Pages: 197-205

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Mechanisms inducing spatially extended synchrony in mast seeding : the role of pollen coupling and environmental fluctuation2004

    • Author(s)
      Iwasa, Y.
    • Journal Title

      Ecological Research 19

      Pages: 13-20

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A linear model of colon cancer initiation2004

    • Author(s)
      Michor, F.
    • Journal Title

      Cell Cycle 3

      Pages: 358-362

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Dynamic optimization of defense, immune memory, and post-infection pathogen levels in mammals2004

    • Author(s)
      Shudo, E.
    • Journal Title

      Journal of Theoretical Biology 228

      Pages: 17-29

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Stochastic tunnels in evolutionary dynamics2004

    • Author(s)
      Iwasa, Y.
    • Journal Title

      Genetics 166

      Pages: 1571-1579

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Some basic properties of immune selection2004

    • Author(s)
      Iwasa, Y.
    • Journal Title

      Journal of Theoretical Biology 229

      Pages: 179-188

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Evolutionary dynamics of tumor suppressor gene inactivation.2004

    • Author(s)
      Nowak, M.A.
    • Journal Title

      Proc.Natl.Acad.Sci.USA 101

      Pages: 10635-10638

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Forest gap dynamics and the Ising model2004

    • Author(s)
      Schlicht, R.
    • Journal Title

      Journal of Theoretical Biology 230

      Pages: 65-75

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Multiple-year optimization of conservation effort and monitoring effort for a fluctuating population2004

    • Author(s)
      Yokomizo, H.
    • Journal Title

      Journal of Theoretical Biology 230

      Pages: 157-171

    • Related Report
      2004 Annual Research Report
  • [Journal Article] How should we define goodness? -- reputation dynamics in indirect reciprocity2004

    • Author(s)
      Ohtsuki, H.
    • Journal Title

      Journal of Theoretical Biology 231

      Pages: 107-120

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Population genetics of tumor suppressor genes2004

    • Author(s)
      Iwasa, Y.
    • Journal Title

      Journal of Theoretical Biology 233

      Pages: 15-23

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Stabilities in Volterra difference equations on a Banach space2004

    • Author(s)
      T.Furumochi
    • Journal Title

      Fields Institute Communications 42

      Pages: 159-176

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem2004

    • Author(s)
      T.Furumochi
    • Journal Title

      Proc.7th Coll.QTDE 10

      Pages: 1-11

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Volterra difference equations on a Banach space and abstract differential equations with piecewise continuous delays2004

    • Author(s)
      T.Furumochi
    • Journal Title

      Japanese Journal of Mathematics 30

      Pages: 387-412

    • NAID

      10014334745

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A generalization of Wiener's lemma and its application to Volterra difference equations on a Banach space2004

    • Author(s)
      T.Furumochi
    • Journal Title

      J.Difference Equations and its Applications 10

      Pages: 1201-1214

    • NAID

      120005587462

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Phase Transition of Interspecific Segregation in a Lattice Ecosystem with Intraspecific Competition2004

    • Author(s)
      Kei-ichi Tainaka
    • Journal Title

      J.Phys.Soc.Japan 73

      Pages: 2914-2915

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spatial Enhancement of Population Uncertainty near the Extinction Threshold.2004

    • Author(s)
      Itoh, K.
    • Journal Title

      Ecological Modelling 174

      Pages: 191-201

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Indirect effects of habitat destruction in model ecosystems.2004

    • Author(s)
      Nariyuki Nakagiri
    • Journal Title

      Ecological Modelling 174

      Pages: 103-114

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spatial Enhancement of Population Uncertainty in model ecosystems2004

    • Author(s)
      Y.Itoh
    • Journal Title

      J.Phys.Soc.Japan 73

      Pages: 53-59

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A Predator-Prey Model with Inverse Trophic Relation and Time Delay

    • Author(s)
      Y.Saito
    • Journal Title

      Nonl.Analysis : Real World Applications (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A Time-Delay Model for Prey-Predator Growth with Stage Structure

    • Author(s)
      Y.Saito
    • Journal Title

      Canad.Applied Math.Quat. (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Bifurcation delay in a delay differential equation

    • Author(s)
      R.Miyazakia
    • Journal Title

      Nonlinear Analysis (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Mathematical view of community and ecosystem processes.

    • Author(s)
      Namba, T.
    • Journal Title

      Ecological Issues in a Changing World : Status, Response and Strategy(Kluwer Ac ademic) (in press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions

    • Author(s)
      E.C.M.Crooks
    • Journal Title

      Nonlinear Analysis., Series A (in press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Chemotaxis and growth system with singular sensitivity function

    • Author(s)
      M.Aida
    • Journal Title

      Nonlinear Analsys, Series B (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Interacting Spots in Reaction-Doffusion Systems

    • Author(s)
      S.-I.Ei
    • Journal Title

      J.Discrete and Continuous Dynamical Systems (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] The evolution of altruism by costly punishment in the lattice structured population : score-dependent viability versus score-dependent fertility

    • Author(s)
      M.Nakamaru
    • Journal Title

      Evolutionary Ecology Research (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Temperature compensation in circadian clock models

    • Author(s)
      Kurosawa, G.
    • Journal Title

      Journal of Theoretical Biology (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Optimal growth pattern of defensive organs : the diversity of shell growth among Molluscs

    • Author(s)
      Irie, T.
    • Journal Title

      American Naturalist (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A survey on indirect reciprocity.

    • Author(s)
      Brandt, H.
    • Journal Title

      Vol.1 Mathematics for Ecology and Evolution(eds.Y Takeuchi K Sato and Y Iwasa eds.)(Springer) (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Directional Evolution of Virus within a Host under Immune Selection

    • Author(s)
      Iwasa, Y.
    • Journal Title

      Vol.2:Mathematics for Life Science and Medicine(eds.Y.Takeuchi, K.Sato and Y.Iwasa eds.)(Springer) (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Mate-choice copying as Bayesian decision making

    • Author(s)
      Uehara, T.
    • Journal Title

      American Naturalist (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Asymptotic behavior of nonlinear functional differential equations by Scauder's theorem

    • Author(s)
      T.A.Burton
    • Journal Title

      Nonlinear Studies (In press)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Stabilities in FDEs by Schauder's theorem

    • Author(s)
      T.Furumochi
    • Journal Title

      Proc.WCNA2004 (In press)

    • Related Report
      2004 Annual Research Report
  • [Book] Mathematics for Ecology and Evolution

    • Author(s)
      Y.Takeuchi
    • Publisher
      Springer(In press)
    • Related Report
      2004 Annual Research Report
  • [Book] Mathematics for Life Science and Medicine

    • Author(s)
      Y.Takeuchi
    • Publisher
      Springer(In press)
    • Related Report
      2004 Annual Research Report
  • [Publications] Y.Takeuchi, T.Yamamura: "Stability analysis of the Kaldor model with time delays : Monetary policy and government budget constraints"Nonl.Anal.Series B Real World Applications. 5・2. 277-308 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] R.Kon, Y.Saito, Y.Takeuchi: "Permanence of single-species stage-structured model"J.Math.Biol.. (To appear).

    • Related Report
      2003 Annual Research Report
  • [Publications] R.Kon, Y.Takeuchi: "Permanence of 2-host,1-parasitoid systems"Dynamics of Continuous, Discrete and Impulsive Systems. Series B : Applications and Algorithms. 10. 389-402 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Tainaka, N.Yoshida, N.Terazawa, N.Nakagiri, Y.Takeuchi, J.Yoshimura: "The effect of mutualism on community stability and competitive interaction"J.Physics Soc.of Japan. 72・4. 956-961 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Saito, Y.Takeuchi: "Sharp conditions for globa stability of Lotka-Volterra systems with delayed intraspecific competition"Fields Institute Communications. 36. 195-211 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] W.Ma, Y.Takeuchi: "Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate"Discrete and Continuous Dynamical Systems-Series B. 4・3. 673-680 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Yamaguchi, Y.Takeuchi, W.Ma: "Population dynamics of sea bass and young sea bass"Discrete and Continuous Dynamical Systems-Series B. 4・3. 833-840 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Du, R.Kon, Y.Saito, Y.Takeuchi: "Dynamical behavior of Lotka-Volterra competition systems : non-autonomous bistable case and the effect of telegraph noises"J.Computational and Applied Mathematics. (To appear).

    • Related Report
      2003 Annual Research Report
  • [Publications] W.Ma, M.Song, Y.Takeuchi: "Global stability of an SIR epidemic model with time delay"Applied Math. Letters. (To appear).

    • Related Report
      2003 Annual Research Report
  • [Publications] J.Cui, Y.Takeuchi, Z.Lin: "Permanence and Extinction for Dispersal Population Systems"J.Math.Anal.Appl.. (To appear).

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      2003 Annual Research Report
  • [Publications] D.Hilhorst, M.Mimura, R.Schaetzle: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Analysis. 261-285 (2003)

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      2003 Annual Research Report
  • [Publications] E.Feiresl, D.Hilhorst, M.Mimura, R.Weidenfeld: "On a nonlinear diffusion system with resource-consumer interaction"Hiroshima Math.J.. 33. 253-295 (2003)

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      2003 Annual Research Report
  • [Publications] E.C.M.Crooks, E.N.Dancer, D.Hilhorst, M.Mimura, H.Ninomiya: "Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions"in Nonlinear Anal.Series B. (To apper).

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      2003 Annual Research Report
  • [Publications] H.Inaba, H.Sekine: "A mathematical model for Chagas disease with infection-age-dependent infectivity"Mathematical Biosciences. (To apper).

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Inaba: "Backward bifurcation in a HIV/AIDS epidemic model with age structure I: The case of proportionate mixing (2003) 189-196"数理解析研究所講究録. 1309. 189-196 (2003)

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      2003 Annual Research Report
  • [Publications] H.Inaba: "Backward bifurcation in a model for vector transmission disease, In Morphogenesis and Pattern Formation in Biological Systems"T.Sekimura, S.Noji, N.Ueno, P.K.Maini (eds.), Springer. 271-279

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      2003 Annual Research Report
  • [Publications] H.Inaba: "Backward bifurcation in a HIV/AIDS epidemic model with age structure II: The case of general transmission rate"数理解析研究所講究録. 1337. 103-111 (2003)

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      2003 Annual Research Report
  • [Publications] 稲葉寿: "インフルエンザ流行-数理モデル"綜合臨牀. 52・10. 2700-2706 (2003)

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      2003 Annual Research Report
  • [Publications] Y.Itoh, K.Tainaka: "Extinction process and variation in a prey-predator system"J.Phys.Soc.Japan.. (To appear).

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      2003 Annual Research Report
  • [Publications] Y.Itoh, K.Tainaka, T.Sakata, T.Tao, N.Nakagiri: "Spatial Enhancement of Population Uncertainty near the Extinction Threshold"Ecological Modelling. (To appear).

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      2003 Annual Research Report
  • [Publications] N.Nakagiri, K.Tainaka: "Paradoxical effect in habitat destruction"Ecological Modelling. (To appear).

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      2003 Annual Research Report
  • [Publications] K.Tainaka: "Perturbation expansion and optimized death rate in a lattice ecosystem"Ecological Modelling. 163. 73-85 (2003)

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      2003 Annual Research Report
  • [Publications] 佐藤 一憲: "格子確率モデルの数理と応用:複雑性を有する確率モデルの数理的研究[VI・完]-生息地破壊の格子モデル-"電子情報通信学会誌. 86. 51-53 (2003)

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      2003 Annual Research Report
  • [Publications] S., Tohya, A.Mochizuki, Y.Iwasa: "Random cell rearrangement can form cone mosaic patterns in fish retina and explain the difference between zebrafish and medaka"J.Theor.Biology. 221. 289-300 (2003)

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      2003 Annual Research Report
  • [Publications] Michor, F., Y.Iwasa, N.L.Komarova, M.A.Nowak.: "Local regulation of homeostasis favors chromosomal instability"Current Biology. 13. 581-584 (2003)

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      2003 Annual Research Report
  • [Publications] Takano, R., A.Mochizuki, Y.Iwasa: "Possibility of tissue separation caused by cell adhesion"J.Theor.Biology. 221. 459-474 (2003)

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      2003 Annual Research Report
  • [Publications] Frank, S., Y.Iwasa, M.Nowak: "Pattern of cell division and the risk of cancer"Genetics. 163. 1527-1532 (2003)

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      2003 Annual Research Report
  • [Publications] H.Shoji, A.Mochizuki, Y.Iwasa, M.Hirata, T.Watanabe, S.Hioki, S.Kondo: "Origin of directionality in the fish stripe pattern"Developmental Dynamics. 226. 627-633 (2003)

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      2003 Annual Research Report
  • [Publications] Shudo, E., P.Haccou, Y.Iwasa: "Optimal choice between feedforward and feedback control in gene expression to cope with unpredictable danger"J.Theor.Biology. 223. 149-160 (2003)

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      2003 Annual Research Report
  • [Publications] Shoji, H, Y.Iwasa: "Pattern selection and the direction of stripes in two-dimensional Turing systems for skin pattern formation of fishes"Forma. 18. 3-18 (2003)

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      2003 Annual Research Report
  • [Publications] Yokomizo, H., J.Yamashita, Y.Iwasa: "Optimal conservation effort for a population in a stochastic environment"J.Theor.Biology. 220. 215-231 (2003)

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      2003 Annual Research Report
  • [Publications] Yokomizo, H., P.Haccou, Y.Iwasa: "Conservation effort for a population in a fluctuating environment and assessment of the population size"J.Theor.Biology. 224. 167-182 (2003)

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      2003 Annual Research Report
  • [Publications] Nakamaru, M., Y.Iwasa, J.Nakanishi: "Extinction risk to bird populations caused by DDT exposure"Chemosphere. 53. 377-387 (2003)

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      2003 Annual Research Report
  • [Publications] Nakanishi, J., M.Gamo, Y.Iwasa, Y.Tanaka: "Environmental Risk Evaluation of Chemicals: achievements of the project and seeds for future-Development of metrics for evaluating risks"Chemosphere. 53. 389-398 (2003)

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  • [Publications] Shoji, H., Y.Iwasa, S.Kondo: "Stripes, Spots or Reversed Spots in Two-dimensional Turing Systems"J.Theor.Biology. 224. 339-350 (2003)

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  • [Publications] Muko, S., Y.Iwasa: "Incomplete mixing promotes species coexistence in a lottery model with permanent spatial heterogeneity"Theoretical Population Biology. 64. 359-368 (2003)

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      2003 Annual Research Report
  • [Publications] Michor, F.M.A.Nowak, S.A.Frank, Y.Iwasa: "Stochastic elimination of cancer cells"Proceeding of Royal Society London ser.B.. 270. 2017-2024 (2003)

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  • [Publications] Michor F., S.A.Frank, R.M.May, Y.Iwasa, Nowak, M.A.: "Somatic selection for and against cancer"J.Theor.Biology. 225. 377-382 (2003)

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      2003 Annual Research Report
  • [Publications] Nowak, M.A., F.Michor, Y.Iwasa: "The linear process of somatic evolution"Proc.Nat.Acad.Sci.USA. 100. 14966-14969 (2003)

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  • [Publications] Iwasa Y., F.Michor, M.Nowak: "Evolutionary dynamics of escape from biomedical intervention"Proceeding of Royal Society London, ser B.. 270. 2573-2578 (2003)

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  • [Publications] Hakoyama, H., Y.Iwasa: "Coexistence of a sexual and a unisexual forms by parasites"Journal of Theoretical Biology. 226. 185-194 (2004)

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      2003 Annual Research Report
  • [Publications] Iwasa, Y., F.Michor, M.Nowak: "Evolutionary dynamics of invasion and escape"Journal of Theoretical Biology. 226. 205-214 (2004)

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  • [Publications] Satake, A., Y.Iwasa, H.Hakoyama, S.P.Hubbell: "Estimating local interaction from spatio-temporal forest data, and Mon te Carlo Bias Correction"Journal of Theoretical Biology. 226. 225-235 (2004)

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  • [Publications] Irie, T., Y.Iwasa: "Optimal growth model for the latitudinal cline of shell morphology in cowries (genus Cypraea)"Evolutionary Ecology Research. 5. 1133-1149 (2004)

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  • [Publications] Michor, F., Y.Iwasa, M.A.Nowak: "Dynamics of cancer progression"Nature Review Cancer. 4. 197-205 (2004)

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  • [Publications] Iwasa, Y., A.Satake: "Mechanisms inducing spatially extended synchrony in mast seeding : the role of pollen coupling and environmental fluctuation"Ecological Research. 19・1. 13-20 (2004)

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  • [Publications] Michor, F., Y.Iwasa, H.Rajagopalan, C.Lengauer, M.A.Nowak: "A linear model of colon cancer initiation"Cell Cycle. 3. 358-362 (2004)

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  • [Publications] Shudo, E., Y.Iwasa: "Dynamic optimization of defense, immune memory, and pathogens remaining in the host body"Journal of Theoretical Biology. (To appear).

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  • [Publications] Iwasa, Y., F.Michor, M.A.Nowak: "Stochastic tunnels in evolutionary dynamics"Genetics. (To appear).

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  • [Publications] T.Furumochi, S.Murakami, Y.Nagabuchi: "Stabilities in Volterra difference equations on a Banach space"Fields Institute Communications. (To appear).

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  • [Publications] T.Furumochi, S.Murakami, Y.Nagabuchi: "A generalization of Wiener's lemma and its application to Volterra dif ference equations on a Banach space"Journal of Difference Equations and Applications. (To appear).

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  • [Publications] T.Furumochi: "Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem"E.J.Qualitative Theory of Differential Equations. (To appear).

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      2003 Annual Research Report
  • [Publications] T.A.Burton, T.Furumochi: "Asymptotic behavior of nonlinear functional differential equations by Schauder's theorem"Nonlinear Studies. (To appear).

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  • [Publications] 福谷郁子, 重定南奈子, 高須夫悟: "リンデンマイヤー・システムとしての植物根系の形態"生物の形の多様性と進化-遺伝子から生態系まで-(関村・野馳,森田編),裳華房. 152-161 (2003)

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  • [Publications] Noriko Kinezaki, Kohkichi Kawasaki, Fugo Takasu, Nanako Shigesada: "Modeling Biological Invasions into Periodically Fragmented Environments"Theoretical Population Biology. 64. 291-302 (2003)

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  • [Publications] Nanako Shigesada, Noriko Kinezaki, Kohkichi Kawasaki, Fugo Takasu: "Biological Invasion into Periodically Fragmented Environments : Diffusion-Reaction Model"Morphogenesis and Pattern Formation in Biological Systems : Experiments and Models, Springer-Verlag Tokyo. 215-222 (2003)

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  • [Publications] Kyoko Ohsawa, Kohkichi Kawasaki, Fugo Takasu, Nanako Shigesada: "How does spatio-temporal disturbance influence species diversity in a hierarchical competitive system? Prospective order of species coexistence and extinction"Population Ecology. 45. 239-247 (2003)

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  • [Publications] M.Nakamaru, M.Kawata: "Evolution of rumors that discriminate lying defectors"Evolutionary Ecology Research. 6. 261-283 (2004)

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  • [Publications] M.Nakamaru, A.Sasaki: "Can transitive inference evolve in animals playing hawk-dove game?"Journal of Theoretical Biology. 222. 461-470 (2003)

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  • [Publications] T.Kajiwara, T.Sasaki: "Stability of pathogen-immune interaction"Discrete and Continuous Dynamical System Ser. B. (To appear).

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  • [Publications] Namba, T., Chon, T.-S.: "Mathematical view of community and ecosystem processes""Ecological Issues in a Changing World : Status, Response and Strategy", Kluwer Academic. (To appear).

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  • [Publications] 竹内康博(監訳): "微生物の力学系---ケモスタット理論を通して"日本評論社. 350 (2004)

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  • [Publications] R.Kon: "Effect of a parasitoid on permanence of competing hosts"Vietnam Journal of Mathematics. 30. 473-486 (2002)

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  • [Publications] E.Beretta: "Analysis of a chemostat model for bacteria and bacteriophage"Vietnam Journal of Mathematics. 30. 459-472 (2002)

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  • [Publications] Y.Saito: "Sharp conditions for globa stability of Lotka-Volterra systems with delayed intraspecific competition"Fields Institute Communications. (To appear).

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  • [Publications] R.Kon: "Permanence of 2-host, 1-parasitoid systems"Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms. 10. 389-402 (2003)

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  • [Publications] E.Beretta: "Stability analysis of time delayed chemostat models for bacteria and virulent phage"Fields Institute Communications. (To appear).

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  • [Publications] W.Ma: "Permanence of an SIR epidemic model with time delays"Tohoku Math.J.. 54・4. 581-591 (2002)

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  • [Publications] K.Ohsawa: "Recurrent Habitat Disturbance and Species Diversity in a Multiple-Competitive Species System"J.Theoretical Biology. 216. 123-138 (2002)

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  • [Publications] T.Hara: "Star-shaped periodic solutions for x'(t)=α{1-||x(t)||^2}R(θ)x([t])"Nonlinear Anal.. 49. 455-470 (2002)

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  • [Publications] Y.Saito: "Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system"Nonlinear Anal.. 50. 703-715 (2002)

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  • [Publications] 坂田定久: "Stable regions represented by time delays"数理解析研究所講究録. 1254. 122-131 (2002)

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  • [Publications] T.A.Burton: "Asymptotic behavior of solutions of functional differential equations by fixed point theorems"Dynamic Systems and Applications. 11・4. 499-519 (2002)

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      2002 Annual Research Report
  • [Publications] T.Furumochi: "Asymptotically periodic solutions of Volterra difference equations"Vietnam Jornal of Mathematics. (To appear).

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  • [Publications] T.Furumochi: "Stabilities in Volterra difference equations on a Banach space"Fields Institute Communications. (To appear).

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  • [Publications] 難波利幸: "生物間相互作用と外来種の侵入可能性"日本生態学会関東地区会会報. 50. 4-10 (2002)

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  • [Publications] H.Shoji: "Directionality of stripes formed by anisotropic reaction-diffusion models"J.Theoretical Biology. 214. 549-561 (2002)

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  • [Publications] A Satake: "Spatially limited pollen exchange and a long range synchronization of forest trees"Ecology. 83. 993-1005 (2002)

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  • [Publications] G., Kurosawa: "Processes promoting oscillations --comparative study of circadian clock models"J.Theoretical Biology. 216. 193-208 (2002)

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  • [Publications] E.Shudo: "Optimal defense strategy : storage versus new production"J.Theoretical Biology. 219. 309-323 (2002)

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  • [Publications] A Satake: "The synchronized and intermittent reproduction of forest trees is mediated by the Moran effet, only in association with pollen coupling"J.Ecology. 90. 830-838 (2002)

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  • [Publications] G., Kurosawa: "Saturation of enzyme kinetics in circadian clock models"J.Biological Rhythms. 17. 568-577 (2003)

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  • [Publications] H.Yokomizo: "Optimal conservation effort for a population in a stochastic environment"J.Theoretical Biology. 220. 215-231 (2003)

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  • [Publications] H.Inaba: "Endemic threshold and stability in an evolutionary epidemic model"The IMA Volumes in Mathematics and its Applications. 126. 337-359 (2002)

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  • [Publications] E.Beretta: "Non-existence of periodic solutions in delayed Lotka-Volterra systems"Nonlinear Analysis : Real World Applications. 3・1. 107-129 (2002)

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  • [Publications] E.Beretta: "Negative criteria for the existence of periodic solutions in class of delay-differential equations"Nonlinear Analysis, Theory, Methods and Application. 50・7. 941-966 (2002)

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  • [Publications] K.Tainaka: "Patch dynamics based on Prisoner's Dilemma game : Superiority of Golden Rule"Ecological Modelling. 150. 295-307 (2002)

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  • [Publications] O.Ovaskainen: "Metapopulation models for extinction threshold in spatially correlated landscapes"Journal of Theoretical Biology. 215. 95-108 (2002)

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  • [Publications] K.Sato: "Parity law for population dynamics of N-species with cyclic advantage competitions."Applied Mathematics and Computation. 126. 255-270 (2002)

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  • [Publications] F.Shiraishi: "A Taylor-series solution in Cartesian space to GMA-system equation and"Applied Mathematics and Computation. 127. 103-123 (2002)

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  • [Publications] T.Hasegawa: "A quadratic convergence method for MOVPE thermodynamic analysis"J.Crystal Growth. 237・239. 1603-1609 (2002)

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  • [Publications] S.Morita: "Collective motions in globally coupled tent maps with stochastic updating"Physical Review E. 65. 046201-046206 (2002)

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  • [Publications] M.Nakamaru: "Extinction Risk to Herring Gull populations from DDT Exposure"Environmental Toxicology and Chemistry. 21. 195-202 (2002)

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  • [Publications] M.Rodrigo: "Annihilation dynamics in the KPP-Fisher equation"European J.Appl.Math. 13. 195-204 (2002)

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  • [Publications] S.-I.Ei: "Pulse-pulse interaction in reaction-diffusion systems"Physica D. 165. 176-198 (2002)

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  • [Publications] K.Osaki: "Exponential attractor for a chemotaxis-growth system of equations"Nonlinear Anal.. 51. 119-144 (2002)

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  • [Publications] M.Mimura: "Non-Annihilation of travelling pulses in reaction-diffusion systems"J.Methods and Appl.of Analysis. (To appear).

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  • [Publications] D.Hilhorst: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Analysis, Series A. (To appear).

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      2002 Annual Research Report
  • [Publications] Y., Hamaguchi: "Modeling spawning strategy for sex change under social control in haremic angelfishes"Behavioral Ecology. 13. 75-82 (2002)

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  • [Publications] N.Shigesada: "Invasion and species range expansion"Dispersal Ecology. C3. (2002)

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  • [Publications] 稲葉寿: "人口と伝染病の数理"応用数理. 12・3. 70-83 (2002)

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  • [Publications] H.Inaba: "Nonlinear dynamics of open marine population with space-limited recruitment : The case of mortality control"Journal of Mathematical Analysis and Applications. 275. 537-556 (2002)

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  • [Publications] H.Inaba: "Semigroup approach to a pair formation model in human demography"数理解析研究所講究録. 1264. 27-41 (2002)

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  • [Publications] 稲葉寿: "数理人口学"東京大学出版会. 412 (2002)

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  • [Publications] E.Beretta: "Global asymptotic stability of an SIR epidemic model with distributed time delay"Nonlinear Analysis,Theory,Methods and Applications. 47・6. 4107-4115 (2001)

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  • [Publications] R.Kon: "The invadibility of a host in host-parasitoid systems"Differential Equations and Dynamical Systems. 9・1. 63-82 (2001)

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  • [Publications] Bo.Feng: "A stage-structured time-delay model of single-species exposed to environmental hormone"Nonlinear Analysis,Theory,Methods and Applications. 47・6. 4059-4069 (2001)

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  • [Publications] R.Kon: "Permanence of host-parasitoid systems"Nonlinear Analysis,Theory,Methods and Applications. 47・2. 1383-1393 (2001)

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      2001 Annual Research Report
  • [Publications] Y.Takeuchi: "Global stability of Lotka-Volterra prey-predator systems with spatial heterogeneity"Differential Equations and Dynamical Systems. 9・1. 23-36 (2001)

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  • [Publications] E.Beretta: "Nonexistence of periodic solutions in a class of delay-differential equations"Proc.Dyna.Sys.Appl. 3. 69-76 (2001)

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  • [Publications] K.Tainaka: "Spatial pattern formation in a model ecosystem: Exchange between symbiosis and competition"Phys.Lett.A. 282. 373-379 (2001)

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  • [Publications] T.Tao: "Glass Transition on Destructed Lattice"Trans.Materials Research Society Japan. 26. 441-444 (2001)

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  • [Publications] K.Tainaka: "Physics and ecology of rock-paper-scissors game"Lecture Notes in Computer Science. 2063. 394-406 (2001)

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  • [Publications] 中丸麻由子: "DDTの生態リスク評価:生物濃縮がもたらすセグロカモメ集団の絶滅リスクの試算"環境科学会誌. 14・1. 61-72 (2001)

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  • [Publications] M.Nakamaru: "Extinction Risk to Herring Gull populations from DDT Exposure"Environmental Toxicology and Chemistry. 21. 195-202 (2002)

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      2001 Annual Research Report
  • [Publications] M.Rodrigo: "Exact solutions of reaction-diffusion systems and nonlinear wave equations"Japan J.Industrial and Appl.Mathematics. 18. 647-656 (2001)

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      2001 Annual Research Report
  • [Publications] R.Kon: "The effect of evolution on host-parasitoid systems"J.Theoretical Biology. 209・3. 287-302 (2001)

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      2001 Annual Research Report
  • [Publications] T.Naito: "Boundedness and almost periodicity in dynamical systems"Journal of Difference Equations and Applications. 7・4. 507-528 (2001)

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  • [Publications] N.Nakagiri: "Indirect Relation between Species Extinction and Habitat Destruction"Ecological Modelling. 137. 109-118 (2001)

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  • [Publications] T. Sakata: "Genetic Interaction on Lattice Space: Relatedness in Small Populations"Trans.Materials Research Society Japan. 26. 437-440 (2001)

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  • [Publications] N.Nakagiri: "Trade-off between Diffusion and Reaction in Lattice System"Trans.Materials Research Society Japan. 26. 445-448 (2001)

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      2001 Annual Research Report
  • [Publications] N.Nakagiri: "Indirect Effects and Parity Law in Interacting Particle Systems"Trans.Materials Research Society Japan. 26. 449-452 (2001)

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  • [Publications] S.Petrovskii: "Some exact solutions of a generalized Fisher equation related to the problem of biological invasion"Mathematical Biolsciences. 172. 73-94 (2001)

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      2001 Annual Research Report
  • [Publications] Y.Hamaguchi: "Modeling spawning strategy for sex change under social control in haremic angelfishes"Behavioral Ecology. 13. 75-82 (2002)

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      2001 Annual Research Report
  • [Publications] T.Hara: "Dynamics of a delay differential system with periodically oscillatory coefficients"Nonlinear Anal.. 47. 4399-4408 (2001)

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      2001 Annual Research Report
  • [Publications] H.Matsunaga: "Global attractivity for a nonlinear difference equation with variable delay"Comput.Math.Appl.. 41. 543-551 (2001)

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  • [Publications] H.Matsunaga: "Global attractivity for a logistic equation with piecewise constant argument"Nonlinear Differential Equations Appl.. 8. 45-52 (2001)

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  • [Publications] Y, Saito: "A necessary and sufficient condition for permanence of a Lotka-Volterra discrete system with delays"J.Math.Anal.Appl.. 256. 162-174 (2001)

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  • [Publications] D.Hilhorst: "A competition-diffusion system approximation to the classical two-phase Stefan problem"Japan J.Industrial and Appl.Mathematics. 18. 161-180 (2001)

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  • [Publications] S.Kawaguchi: "Hormone-mediated patterns formation in seeding of plants: a competitive growth dynamics model"J.Phys.Soc.Japan. 70. 3155-3160 (2001)

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      2001 Annual Research Report
  • [Publications] D.Hilhorst: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Analysis. (to appear).

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      2001 Annual Research Report
  • [Publications] K.Osaki: "Exponential attractor for a chemotaxis-growth system of equations"Nonlinear Anal.,Series A. (to appear).

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      2001 Annual Research Report
  • [Publications] M.Funaki: "Travelling front solutions arising in a chemotaxis-growth model"J.Math.Biol.. (to appear).

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      2001 Annual Research Report
  • [Publications] S.Petrovskii: "Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species"Japan Journal of Industrial and Applied Mathematics. 18. 459-481 (2001)

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      2001 Annual Research Report
  • [Publications] Y, Saito: "Harmless delays for permanence and impersistence of Lotka-Volterra discrete predator-prey system"Nonlinear Anal.. (to appear).

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      2001 Annual Research Report
  • [Publications] 難波利幸: "食物網とカオス:雑食は少数自由度系と大自由度系を結ぶ鍵になるか?"物性研究. 77・3. 524-528 (2001)

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      2001 Annual Research Report
  • [Publications] T.A.Burton: "Fixed points and problems in stability theory for ordinary and functional differential equations"Dynamic Systems and Applications. 10. 89-116 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] T.A.Burton: "A note on stability by Schauder's theorem"Funkcialaj Ekvacioj. 44. 73-82 (2001)

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      2001 Annual Research Report
  • [Publications] 竹内康博: "進化ゲームと微分方程式"現代数学社. 407 (2001)

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Published: 2001-04-01   Modified: 2016-04-21  

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