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Competition Models in Population Biology

Competition Models in Population Biology

Part of CBMS-NSF Regional Conference Series in Applied Mathematics

  • Date Published: March 1984
  • 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: 9780898711882


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About the Authors
  • This book uses fundamental ideas in dynamical systems to answer questions of a biologic nature, in particular, questions about the behavior of populations given a relatively few hypotheses about the nature of their growth and interaction. The principal subject treated is that of coexistence under certain parameter ranges, while asymptotic methods are used to show competitive exclusion in other parameter ranges. Finally, some problems in genetics are posed and analyzed as problems in nonlinear ordinary differential equations.

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    Product details

    • Date Published: March 1984
    • format: Paperback
    • isbn: 9780898711882
    • length: 88 pages
    • dimensions: 252 x 174 x 5 mm
    • weight: 0.17kg
    • 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

    Single population growth models. Logistic growth
    The simple chemostat: Interacting populations
    The Lotka-Volterra competition model
    Competition in the chemostat
    A three-level food chain
    Bifurcation from a limit cycle
    Two predators competing for a renewable resource
    Two predators feeding on a prey growing in a chemostat. Some deterministic problems in genetics. Predator Influence on the growth of a population with three Genotype
    A model of cystic fibrosis
    A parental selection problem.

  • Author

    Paul Waltman, Emory University, Atlanta

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