Elements of Mathematical Ecology
Cambridge University Press
July 2001
Hardback 464 pp, 239 diags, 11 tabs ISBN 9780521802130
£100.00



Softcover 464pp ISBN 9780521001502
£48.00





Elements of Mathematical Ecology provides an introduction to classical and
modern mathematical models, methods, and issues in population ecology. The
first part of the book is devoted to simple, unstructured population models that ignore
much of the variability found in natural populations for the sake of tractability. Topics
covered include density dependence, bifurcations, demographic stochasticity, time delays,
population interactions (predation, competition, and mutualism), and the application of
optimal control theory to the management of renewable resources. The second part of this
book is devoted to structured population models, covering spatiallystructured population
models (with a focus on reactiondiffusion models), agestructured models, and twosex
models. Suitable for upper level students and beginning researchers in ecology,
mathematical biology and applied mathematics, the volume includes numerous clear line
diagrams that clarify the mathematics, relevant problems thoughout the text that aid
understanding, and supplementary mathematical and historical material that enrich the main
text.
Contents
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. Discretetime models;
5. Delay models; 6. Branching processes; Section B. Interacting Populations: 7.
A classical predatorprey model; 8. To cycle or not to cycle; 9. Global bifurcations in
predatorprey models; 10. Chemosts models; 11. Discretetime predatorprey 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. SpatiallyStructured Models: 15. Spatiallystructured models; 16.
Spatial steady states: linear problems; 17. Spatial steady states: nonlinear problems; 18.
Models of spread; Section E. AgeStructured Models: 19. An overview of linear
agestructured models; 20. The Lokta integral equation; 21. The difference equation; 22.
The Leslie matrix; 23. The McKendrickvon Foerster PDE; 24. Some simple nonlinear
models; Section F. GenderStructured Models: 25. Twosex models; References;
Index.
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