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2004 Fiscal Year Annual Research Report

数理生物学における力学系に関する総合的研究

Research Project

Project/Area Number 13304006
Research InstitutionShizuoka University

Principal Investigator

竹内 康博  静岡大学, 工学部, 教授 (20126783)

Co-Investigator(Kenkyū-buntansha) 三村 昌泰  明治大学, 理学研究科, 教授 (50068128)
巌佐 庸  九州大学, 理学研究科, 教授 (70176535)
難波 利幸  大阪女子大学, 理学部, 教授 (30146956)
古用 哲夫  島根大学, 総合理工学部, 教授 (40039128)
稲葉 寿  東京大学, 数理科学研究科, 助教授 (80282531)
Keywords数理生物学 / 力学系 / 微分方程式 / 時間遅れ / カオス / パーマネンス
Research Abstract

数理生物学で現れる代表的な力学系の諸性質を総合的に解析することが本研究の目的である.本年の研究実績の概要は以下のようにまとめられる.
(1)6月13日-15日カナダで開催されたカナダ数学会・応用数学会合同会議と,6月21日-25日イタリアで開催された数理個体群力学系に関する国際会議に参加し,海外共同研究者であるY.Kuang教授およびE.Beretta教授と共同研究.
(2)7月25日-28日とアメリカで開催された数理生物学会に参加し海外共同研究者であるY.Kuang教授と共同研究.
(3)5月27日-30目と第3回イッキ読みセミナーを開催し「Mathematics in Population,(Princeton Series in Theoretical and Computational Biology) Horst R.Thieme(著)」を31名の参加者で昨年残されたPart IIIを読破した.本書は参加者により現在翻訳作業が行われ,本年夏に刊行予定ある.
(4)8月30日-9月3日と京都大学数理解析研究所で短期共同研究集会として第4回イッキ読みセミナーを開催し「Lecture Notes in Biomathematics"The Golden Age of Theoretical Ecology:1923-1940",F.M.Scudo, J.R.Ziegler著」(Springer-Verlag,1978)をPart IIまで20名の参加で読んだ.残りは本年8月に第5回イッキ読みセミナーとして読了する予定である.
(5)11月29日-12月3日に京都大学数理解析研究所で研究集会「生物数学の理論との応用」を開催した.力学系にとどまらず幅広く生物数学に関連する数理について研究交流・討論した.同時に解析理論・手法,およびそれらの生物学における(非線形)現象解析に応用する研究の発展を目指した.生学の問題に対して数理モデルからのアプローチを考えている研究者,数学的手法を生物学への応用可能性をえている研究者の幅広い参加(101名)を得ることができた.具体的には1.中国西南師範大学Wendi Wang教授講演:2.テーマを絞ったMini-Sympo開催:テーマとしては,感染症の数理・進化生物の数理・走性の数理・個体群の数理:3.一般講演を行った.
(6)2月4日-5日に岡山大学環境理工学部で研究集会「環境と相互作用」を開催した.
(7)南京師範大学の崔教授,西南大学の王教授,ハノイ国立大学のDu教授を招聘し共同研究を行った.

  • Research Products

    (57 results)

All 2005 2004 Other

All Journal Article (55 results) Book (2 results)

  • [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

  • [Journal Article] Virus evolution within patients increases pathogenicity2005

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

      Journal of Theoretical Biology 232

      Pages: 17-26

  • [Journal Article] Extinction risk of a meta-population : aggregation approach2005

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

      Journal of Theoretical Biology 232

      Pages: 203-216

  • [Journal Article] Can chromosomal instability initiate tumorigenesis?2005

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

      Seminars in Cancer Biology 15

      Pages: 43-39

  • [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

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

    • Author(s)
      J.Cui
    • Journal Title

      J.Math.Anal.Appl. 298・1

      Pages: 73-93

  • [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

  • [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

  • [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

  • [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

  • [Journal Article] Permanence of single-species stage-structured models2004

    • Author(s)
      R.Kon
    • Journal Title

      J.Math.Biol. 8・5

      Pages: 515-528

  • [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

  • [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

  • [Journal Article] Dispersal mediated coexistence of competing predators.2004

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

      Theoretical Population Biology 66・1

      Pages: 53-70

  • [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

  • [Journal Article] Evolution of rumors that discriminate lying defectors2004

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

      Evolutionary Ecology Research 6

      Pages: 261-283

  • [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

  • [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

  • [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

  • [Journal Article] Evolutionary dynamics of invasion and escape2004

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

      Journal of Theoretical Biology 226

      Pages: 205-214

  • [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

  • [Journal Article] Dynamics of cancer progression2004

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

      Nature Review Cancer 4

      Pages: 197-205

  • [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

  • [Journal Article] A linear model of colon cancer initiation2004

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

      Cell Cycle 3

      Pages: 358-362

  • [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

  • [Journal Article] Stochastic tunnels in evolutionary dynamics2004

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

      Genetics 166

      Pages: 1571-1579

  • [Journal Article] Some basic properties of immune selection2004

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

      Journal of Theoretical Biology 229

      Pages: 179-188

  • [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

  • [Journal Article] Forest gap dynamics and the Ising model2004

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

      Journal of Theoretical Biology 230

      Pages: 65-75

  • [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

  • [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

  • [Journal Article] Population genetics of tumor suppressor genes2004

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

      Journal of Theoretical Biology 233

      Pages: 15-23

  • [Journal Article] Stabilities in Volterra difference equations on a Banach space2004

    • Author(s)
      T.Furumochi
    • Journal Title

      Fields Institute Communications 42

      Pages: 159-176

  • [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

  • [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

  • [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

  • [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

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

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

      Ecological Modelling 174

      Pages: 191-201

  • [Journal Article] Indirect effects of habitat destruction in model ecosystems.2004

    • Author(s)
      Nariyuki Nakagiri
    • Journal Title

      Ecological Modelling 174

      Pages: 103-114

  • [Journal Article] Spatial Enhancement of Population Uncertainty in model ecosystems2004

    • Author(s)
      Y.Itoh
    • Journal Title

      J.Phys.Soc.Japan 73

      Pages: 53-59

  • [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)

  • [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)

  • [Journal Article] Bifurcation delay in a delay differential equation

    • Author(s)
      R.Miyazakia
    • Journal Title

      Nonlinear Analysis (In press)

  • [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)

  • [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)

  • [Journal Article] Chemotaxis and growth system with singular sensitivity function

    • Author(s)
      M.Aida
    • Journal Title

      Nonlinear Analsys, Series B (In press)

  • [Journal Article] Interacting Spots in Reaction-Doffusion Systems

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

      J.Discrete and Continuous Dynamical Systems (In press)

  • [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)

  • [Journal Article] Temperature compensation in circadian clock models

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

      Journal of Theoretical Biology (In press)

  • [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)

  • [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)

  • [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)

  • [Journal Article] Mate-choice copying as Bayesian decision making

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

      American Naturalist (In press)

  • [Journal Article] Asymptotic behavior of nonlinear functional differential equations by Scauder's theorem

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

      Nonlinear Studies (In press)

  • [Journal Article] Stabilities in FDEs by Schauder's theorem

    • Author(s)
      T.Furumochi
    • Journal Title

      Proc.WCNA2004 (In press)

  • [Book] Mathematics for Ecology and Evolution

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

    • Author(s)
      Y.Takeuchi
    • Publisher
      Springer(In press)

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Published: 2006-07-12   Modified: 2016-04-21  

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