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Elements of Mathematical Ecology


  • Date Published: August 2001
  • availability: In stock
  • format: Hardback
  • isbn: 9780521802130


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About the Authors
  • 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.

    • A complete introduction to the mathematics needed for the study of population ecology
    • Written from the author's tried-and-tested lecture notes
    • Numerous clear line diagrams throughout clarify the mathematics
    • Relevant problems throughout the text aid understanding
    • Also includes supplementary mathematical and historical material that enrich the main text
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    Reviews & endorsements

    "[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

    • Date Published: August 2001
    • format: Hardback
    • isbn: 9780521802130
    • length: 464 pages
    • dimensions: 254 x 181 x 30 mm
    • weight: 1.181kg
    • contains: 239 b/w illus. 11 tables
    • availability: In stock
  • Table of Contents

    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

  • Author

    Mark Kot, University of Washington

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