Elements of Mathematical Ecology

Klappentext An introduction to classical and modern mathematical models, methods, and issues in population ecology. Zusammenfassung An introduction to classical and modern mathematical models! methods! and issues in population ecology. Includes numerous line diagrams! relevant problems and supplementary mathematical and historical material that enhances understanding. Inhaltsverzeichnis 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.

Inhalt
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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