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Mathematical Ecology of Plant Species Competition

Mathematical Ecology of Plant Species Competition

AUD$58.95 inc GST

Part of Cambridge Studies in Mathematical Biology

  • Date Published: March 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521102780

AUD$ 58.95 inc GST

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About the Authors
  • Presented in this document is a class of deterministic models describing the dynamics of two plant species whose characteristics are common to the majority of annual plants that have a seedbank. Formulated in terms of elementary dynamical systems, these models were developed in response to four major questions on the long-term outcomes of binary mixtures of plant species: Is ultimate coexistence possible? If not, which strain will win? Does the mixture approach an equilibrium? If so, how long does the mixture take to attain it? The book gives a detailed account of model construction, analysis and application to field data obtained from long-term trials. In the particular case study modelled, the species involved are two pastural strains whose dynamics have critical agricultural and economic implications for the areas in which they are found, including North America, the Mediterranean region and Australia. This study will be valuable to researchers and students in mathematical biology and to agronomists and botanists interested in population dynamics.

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    Product details

    • Date Published: March 2009
    • format: Paperback
    • isbn: 9780521102780
    • length: 208 pages
    • dimensions: 229 x 152 x 12 mm
    • weight: 0.31kg
    • availability: Available
  • Table of Contents

    Part I. Introduction
    Part II. Mathematical formulation of the models
    Part III. Analysis of Model G: Introduction
    Part IV. Analysis of Model G: no interior equilibrium
    Part V. Analysis of Model G: one interior equilibrium
    Part VI. Analysis of Model 2
    Part VII. Application of the models
    Part VIII. A single strain model with cropping and tillage

  • Authors

    Anthony G. Pakes, University of Western Australia, Perth

    R. A. Maller

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