Dynamics of lattice-structured populations in ecology 生態学における格子空間構造を持つ生物集団のダイナミクス
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Bibliographic Information
- Title
-
Dynamics of lattice-structured populations in ecology
- Other Title
-
生態学における格子空間構造を持つ生物集団のダイナミクス
- Author
-
佐藤, 一憲, 1963-
- Author(Another name)
-
サトウ, カズノリ
- University
-
九州大学
- Types of degree
-
博士 (理学)
- Grant ID
-
甲第3051号
- Degree year
-
1993-03-26
Note and Description
博士論文
Table of Contents
- Contents / (0003.jp2)
- I.Preface / p1 (0005.jp2)
- II.Statistical Mechanics of Populations:The Lattice Lotka-Volterra Model / p5 (0009.jp2)
- §2.1.Introduction / p5 (0009.jp2)
- §2.2.The Lattice Lotka-Volterra Model (LLVM) and Malthusians / p8 (0012.jp2)
- §2.3.Single Species Case or Lattice Logistic Model (LLM) / p13 (0017.jp2)
- §2.4.Evolutional Stability of a Stationary Population / p15 (0019.jp2)
- §2.5.Comparison of Pair Approximation (PA) with Computer Simulation / p18 (0022.jp2)
- §2.6.Discussion / p19 (0023.jp2)
- Appendix A:Derivation of Global Densities and Environs Densities for TDA / p22 (0026.jp2)
- III.Pathogen Invasion and Host Extinction in Lattice Structured Populations / p24 (0028.jp2)
- §3.1.Introduction / p24 (0028.jp2)
- §3.2.Model / p24 (0028.jp2)
- §3.3.Master Equations / p25 (0029.jp2)
- §3.4.Improved Pair Approximation (IPA) / p26 (0030.jp2)
- §3.5.Stationary States / p27 (0031.jp2)
- §3.6.Time Development of p± by IPA and Comparison with Computer Simulation / p29 (0033.jp2)
- §3.7.Discussion / p29 (0033.jp2)
- Appendix B:Host and Pathogen Densities and its Environs Densities at Stationary State / p33 (0037.jp2)
- Appendix C:Stability of Equilibria / p36 (0040.jp2)
- IV.Modelling of Wave Regeneration (Shimagare) in Subalpine Abies Forests: Population Dynamics with Spatial Structure / p38 (0042.jp2)
- §4.1.Introduction / p38 (0042.jp2)
- §4.2.Basic Model / p40 (0044.jp2)
- §4.3.SAW-TOOTHED Traveling Waves / p42 (0046.jp2)
- §4.4.Effect of Absolute Height / p44 (0048.jp2)
- §4.5.Fixed Height Boundary Condition / p48 (0052.jp2)
- §4.6.Discussion / p49 (0053.jp2)
- Appendix D:Proof of the convergence to SAW-TOOTHED patterns in the BASIC model / p52 (0056.jp2)
- Appendix E:Proof of the convergence to perfectly regular SAW-TOOTHED patterns for fixed boundary conditions / p54 (0058.jp2)
- V.Dynamic Modeling of Wave Regeneration (Shimagare) in Subalpine Abies Forests / p55 (0059.jp2)
- §5.1.Introduction / p55 (0059.jp2)
- §5.2.The Range of Interaction / p55 (0059.jp2)
- §5.3.Two Dimensional Model / p58 (0062.jp2)
- §5.4.Random Disturbance / p61 (0065.jp2)
- §5.5.Discussion / p62 (0066.jp2)
- VI.Acknowledgements / p66 (0070.jp2)
- VII.References / p67 (0071.jp2)
- VIII.Tables / p74 (0078.jp2)
- IX.Figure Legends / p78 (0082.jp2)