2002 年度実績報告書

数理生物学における力学系に関する総合的研究

研究課題

研究課題/領域番号	13304006
研究機関	静岡大学
研究代表者	竹内康博静岡大学, 工学部, 教授 (20126783)
研究分担者	原惟行大阪府立大学, 工学研究科, 教授 (20029565) 巌佐庸九州大学, 理学研究科, 教授 (70176535) 三村昌泰広島大学, 理学研究科, 教授 (50068128) 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)
キーワード	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
研究概要	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.本年の実績は,以下のようにまとめられる. (1)5月29-30日に数理生物学における力学系をテーマに共同研究集会「数理生物学における力学系の総合的研究」を開催し,今後3年間で解決すべき課題とその方法に関して討議を行った.なお共同研究集会のプログラムとアブストラクトは本力学系グループのホームページのhttp://yoake.sys.eng.shizuoka.ac.jp/~hase/rikigaku/index.htmで公開されている.共同研究集会には個体群数理生物学と進化ゲームにおける世界的権威者であるウイーン大学数学科教授のHofbauerを含め約100人の参加が得られた. (2)7月8-19日海外共同研究者であるイタリアのウルビノ大学教授が主催する数理生物学ヨーロッパサマーセミナー「生理学と医学における力学系」に組織委員として参加し,医学分野における力学系研究の現状と問題点を交流した.参加者は日本人を含め約50人であった. (3)12月17-20日と、「The Theory of the Chemostatをイッキ読みする合宿セミナー」を開催し,The Theory of the Chemostat : Dynamics of Microbial Competition, (Cambridge Studies in Mathematical Biology), Hal L. Smith(著),Paul E. Waltman(著)を20人の参加者で読破した.単調力学系とケモスタットを調べることにより,現実の湖(佐鳴湖)の水質改善問題に適応する出発点と.した. (4)1月15-16日と岡山大学環境理工学部で研究集会「環境と数理科学」を開催した.来年度は(1)(2)での成果を発展させるため,静岡大学で国際シンポジューム「Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences:力学系理論と生物学・環境科学への応用」を3月14日-17日と開催する予定である.本シンポジュームは外国から約30人を含め100人規模のものを計画している.また(3)は静大内部において佐鳴湖プロジェクトを発足させる予定である.

研究成果
(42件)

すべてその他

すべて文献書誌 (42件)

[文献書誌] R.Kon: "Effect of a parasitoid on permanence of competing hosts"Vietnam Journal of Mathematics. 30. 473-486 (2002)
[文献書誌] E.Beretta: "Analysis of a chemostat model for bacteria and bacteriophage"Vietnam Journal of Mathematics. 30. 459-472 (2002)
[文献書誌] Y.Saito: "Sharp conditions for globa stability of Lotka-Volterra systems with delayed intraspecific competition"Fields Institute Communications. (To appear).
[文献書誌] 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)
[文献書誌] E.Beretta: "Stability analysis of time delayed chemostat models for bacteria and virulent phage"Fields Institute Communications. (To appear).
[文献書誌] W.Ma: "Permanence of an SIR epidemic model with time delays"Tohoku Math.J.. 54・4. 581-591 (2002)
[文献書誌] K.Ohsawa: "Recurrent Habitat Disturbance and Species Diversity in a Multiple-Competitive Species System"J.Theoretical Biology. 216. 123-138 (2002)
[文献書誌] T.Hara: "Star-shaped periodic solutions for x'(t)=α{1-||x(t)||^2}R(θ)x([t])"Nonlinear Anal.. 49. 455-470 (2002)
[文献書誌] Y.Saito: "Harmless delays for permanence and impersistence of a Lotka-Volterra discrete predator-prey system"Nonlinear Anal.. 50. 703-715 (2002)
[文献書誌] 坂田定久: "Stable regions represented by time delays"数理解析研究所講究録. 1254. 122-131 (2002)
[文献書誌] T.A.Burton: "Asymptotic behavior of solutions of functional differential equations by fixed point theorems"Dynamic Systems and Applications. 11・4. 499-519 (2002)
[文献書誌] T.Furumochi: "Asymptotically periodic solutions of Volterra difference equations"Vietnam Jornal of Mathematics. (To appear).
[文献書誌] T.Furumochi: "Stabilities in Volterra difference equations on a Banach space"Fields Institute Communications. (To appear).
[文献書誌] 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)
[文献書誌] H.Shoji: "Directionality of stripes formed by anisotropic reaction-diffusion models"J.Theoretical Biology. 214. 549-561 (2002)
[文献書誌] A Satake: "Spatially limited pollen exchange and a long range synchronization of forest trees"Ecology. 83. 993-1005 (2002)
[文献書誌] G., Kurosawa: "Processes promoting oscillations --comparative study of circadian clock models"J.Theoretical Biology. 216. 193-208 (2002)
[文献書誌] E.Shudo: "Optimal defense strategy : storage versus new production"J.Theoretical Biology. 219. 309-323 (2002)
[文献書誌] 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)
[文献書誌] G., Kurosawa: "Saturation of enzyme kinetics in circadian clock models"J.Biological Rhythms. 17. 568-577 (2003)
[文献書誌] H.Yokomizo: "Optimal conservation effort for a population in a stochastic environment"J.Theoretical Biology. 220. 215-231 (2003)
[文献書誌] H.Inaba: "Endemic threshold and stability in an evolutionary epidemic model"The IMA Volumes in Mathematics and its Applications. 126. 337-359 (2002)
[文献書誌] E.Beretta: "Non-existence of periodic solutions in delayed Lotka-Volterra systems"Nonlinear Analysis : Real World Applications. 3・1. 107-129 (2002)
[文献書誌] 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)
[文献書誌] K.Tainaka: "Patch dynamics based on Prisoner's Dilemma game : Superiority of Golden Rule"Ecological Modelling. 150. 295-307 (2002)
[文献書誌] O.Ovaskainen: "Metapopulation models for extinction threshold in spatially correlated landscapes"Journal of Theoretical Biology. 215. 95-108 (2002)
[文献書誌] K.Sato: "Parity law for population dynamics of N-species with cyclic advantage competitions."Applied Mathematics and Computation. 126. 255-270 (2002)
[文献書誌] F.Shiraishi: "A Taylor-series solution in Cartesian space to GMA-system equation and"Applied Mathematics and Computation. 127. 103-123 (2002)
[文献書誌] T.Hasegawa: "A quadratic convergence method for MOVPE thermodynamic analysis"J.Crystal Growth. 237・239. 1603-1609 (2002)
[文献書誌] S.Morita: "Collective motions in globally coupled tent maps with stochastic updating"Physical Review E. 65. 046201-046206 (2002)
[文献書誌] M.Nakamaru: "Extinction Risk to Herring Gull populations from DDT Exposure"Environmental Toxicology and Chemistry. 21. 195-202 (2002)
[文献書誌] M.Rodrigo: "Annihilation dynamics in the KPP-Fisher equation"European J.Appl.Math. 13. 195-204 (2002)
[文献書誌] S.-I.Ei: "Pulse-pulse interaction in reaction-diffusion systems"Physica D. 165. 176-198 (2002)
[文献書誌] K.Osaki: "Exponential attractor for a chemotaxis-growth system of equations"Nonlinear Anal.. 51. 119-144 (2002)
[文献書誌] M.Mimura: "Non-Annihilation of travelling pulses in reaction-diffusion systems"J.Methods and Appl.of Analysis. (To appear).
[文献書誌] D.Hilhorst: "Vanishing latent heat limit in a Stefan-like problem arising in Biology"Nonlinear Analysis, Series A. (To appear).
[文献書誌] Y., Hamaguchi: "Modeling spawning strategy for sex change under social control in haremic angelfishes"Behavioral Ecology. 13. 75-82 (2002)
[文献書誌] N.Shigesada: "Invasion and species range expansion"Dispersal Ecology. C3. (2002)
[文献書誌] 稲葉寿: "人口と伝染病の数理"応用数理. 12・3. 70-83 (2002)
[文献書誌] 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)
[文献書誌] 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)
[文献書誌] 稲葉寿: "数理人口学"東京大学出版会. 412 (2002)

2002 年度 実績報告書

数理生物学における力学系に関する総合的研究

研究代表者

竹内 康博 静岡大学, 工学部, 教授 (20126783)

研究成果

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

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

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

[文献書誌] 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)

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

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

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

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

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

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

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

[文献書誌] T.Furumochi: "Asymptotically periodic solutions of Volterra difference equations"Vietnam Jornal of Mathematics. (To appear).

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

[文献書誌] 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)

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

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

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

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

[文献書誌] 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)

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

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

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

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

[文献書誌] 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)

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

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

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

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

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

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

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

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

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

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

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

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

[文献書誌] Y., Hamaguchi: "Modeling spawning strategy for sex change under social control in haremic angelfishes"Behavioral Ecology. 13. 75-82 (2002)

[文献書誌] N.Shigesada: "Invasion and species range expansion"Dispersal Ecology. C3. (2002)

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

[文献書誌] 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)

[文献書誌] 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)

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

2002 年度実績報告書

竹内康博静岡大学, 工学部, 教授 (20126783)