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Q&A | February 27, 2014

Rene Denfeld: IMG Powell’s Q&A: Rene Denfeld



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    Rene Denfeld 9780062285508

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Elements of Mathematical Ecology

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Elements of Mathematical Ecology Cover

 

Synopses & Reviews

Publisher Comments:

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 spatially-structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex 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 throughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.

Book News Annotation:

Kot (applied mathematics, U. of Washington) presents an introductory text on the methods of classical and mathematical models and methods in population ecology. Covering density dependence, bifurcations, demographic stochasticity, time delays, population interactions, and application of optimal control theory to the management of renewable resources; the first section of the work presents simplified unstructured population models. Structured models are then discussed, with chapters covering spatially structured, age-structured, and two- sex models. The material is focused on mechanistic models that generate hypotheses, rather than complex models for detailed forecasts. Formal theorems and proofs are at a minimum.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

An introduction to classical and modern mathematical models, methods, and issues in population ecology.

Table of 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. 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.

Product Details

ISBN:
9780521802130
Author:
Kot, Mark
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Biology
Subject:
Mathematics
Subject:
Ecology
Subject:
Applied
Subject:
Population biology -- Mathematical models.
Subject:
Ecology -- Mathematical models.
Subject:
Ecology -- Mathematics.
Subject:
Population biology -- Mathematics.
Subject:
Life Sciences - Ecology
Subject:
Environmental Studies-General
Edition Number:
1
Edition Description:
Hardback
Publication Date:
20010731
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
239 line diagrams 11 tables
Pages:
464

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Elements of Mathematical Ecology New Hardcover
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Product details 464 pages Cambridge University Press - English 9780521802130 Reviews:
"Synopsis" by , An introduction to classical and modern mathematical models, methods, and issues in population ecology.
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