Elements of mathematical ecology(数学生态学要素)
发布日期:2006-09-29 浏览次
[内容简介]
An introduction to classical and modern mathematical models, methods, and issues in population ecology.
[目次]
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.
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