Mathematical ecology of plant species competition : a class of deterministic models for binary mixtures of plant genotypes
著者
書誌事項
Mathematical ecology of plant species competition : a class of deterministic models for binary mixtures of plant genotypes
（Cambridge studies in mathematical biology）
Cambridge University Press, 2009, c1990
- : hbk
- : pbk
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注記
"First published 1990. This digitally printed version 2009"--T.p. verso
Bibliography: p. 186-188
Includes index
内容説明・目次
内容説明
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.
目次
- Preface
- 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
- Bibliography
- Indexes.
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