Mark KotElements of Mathematical Ecology
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.