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An Introduction to Structured Population Dynamics

An Introduction to Structured Population Dynamics

Part of CBMS-NSF Regional Conference Series in Applied Mathematics

  • Date Published: September 1998
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714173


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About the Authors
  • Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics.

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    Product details

    • Date Published: September 1998
    • format: Paperback
    • isbn: 9780898714173
    • length: 200 pages
    • dimensions: 250 x 179 x 15 mm
    • weight: 0.37kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    1. Discrete Models. Matrix Models
    Autonomous Single Species Models
    Some Applications
    A Case Study
    Multispecies Interactions
    2. Continuous Models. Age-Structured Models
    Autonomous Age-Structured Models
    Some Applications
    Multispecies Interactions
    Other Structured Models
    3. Population Level Dynamics. Ergodicity and Nonlinear Models
    The Linear Chain Trick
    Hierarchical Models
    Total Population Size in Age-Structured Models
    Appendix A. Stability Theory for Maps. Linear Maps
    Linearization of Maps
    Appendix B. Bifurcation Theorems. A Global Bifurcation Theorem
    Local Parameterization
    Appendix C. Miscellaneous Proofs. Bibliography. Index.

  • Author

    J. M. Cushing, University of Arizona

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