Elements of Mathematical Ecology

ISBN: 9780521001502 出版年：2001 页码：466 Mark Kot Cambridge University Press

Preface Part I. Unstructured Population Models Section A. Single Species Models: 1. Exponential, logistic and Gompertz growth 2. Harvest models - bifurcations and breakpoints 3. Stochastic birth and death processes 4. Discrete-time models 5. Delay models 6. Branching processes Section B. Interacting Populations: 7. A classical predator-prey model 8. To cycle or not to cycle 9. Global bifurcations in predator-prey models 10. Chemosts models 11. Discrete-time predator-prey models 12. Competition models 13. Mutualism models Section C. Dynamics of Exploited Populations: 14. Harvest models and optimal control theory Part II. Structured Population Models Section D. Spatially-Structured Models: 15. Spatially-structured models 16. Spatial steady states: linear problems 17. Spatial steady states: nonlinear problems 18. Models of spread Section E. Age-Structured Models: 19. An overview of linear age-structured models 20. The Lokta integral equation 21. The difference equation 22. The Leslie matrix 23. The McKendrick-von Foerster PDE 24. Some simple nonlinear models Section F. Gender-Structured Models: 25. Two-sex models References Index.