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Elements of Mathematical Ecology / Edition 1

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Overview

"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, for the sake of tractability, ignore much of the variability found in natural populations. 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 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 JACKET.
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Editorial Reviews

From The Critics
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)
From the Publisher
"[T]his book is fun...useful and interesting..." Northeastern Naturalist

"Mark Kot has written a superb introduction to many aspects of population ecology, covering spatially structured, age-structured, and sex-structured models... The treatment is interesting, and represents a genuine stimulus to keep going, even for an ecologist! Yet, the real excitement is invariably in the mathematics... Kot's new book represents an exemplary introduction to the mathematics behind population biology." Robert van Hulst, Ecoscience

"I cannot emphasize this enough, Kot's explanations are outstandingly clear. He presents, step by step, the calculations that are required to analyze the models that underlie population ecology. This is a valuable book. Ecology is becoming more quantitative and more dynamic, not less, and Kot's book fills the need for a rigorous, graduate-level textbook in mathematical population ecology, and does it very well." The Quarterly Review of Biology

"Elements of Mathematical Ecology is a thorough and imminently readable technical introduction to the discipline, and is highly recommended." Acta Biotheoretica

"Kot offers a solid introduction to applied mathematical ecology, especially as it relates to population ecology.... Unusual for such a work, this one is written clearly and much of the writing is accessible even to those without a strong math background.... [S]tudents and researchers in population, applied population, and mathematical ecology will find this book highly useful." Choice

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Product Details

  • ISBN-13: 9780521001502
  • Publisher: Cambridge University Press
  • Publication date: 12/28/2007
  • Edition description: New Edition
  • Edition number: 1
  • Pages: 464
  • Product dimensions: 6.85 (w) x 9.72 (h) x 0.94 (d)

Table of Contents

Preface
Acknowledgments
I Unstructured Population Models 1
A Single-Species Models 3
B Interacting Populations 107
C Dynamics of Exploited Populations 237
II Structured Population Models 265
D Spatially Structured Models 267
E Age-Structured Models 345
F Sex-Structured Models 413
References 425
Author Index 443
Subject Index 447
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