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Mathematical Ecology of Plant Species Competition : Cambridge Studies in Mathematical Biology - Anthony G. Pakes

Mathematical Ecology of Plant Species Competition

Cambridge Studies in Mathematical Biology

Hardcover Published: 31st March 2008
ISBN: 9780521373883
Number Of Pages: 208

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Presented in this volume is a class of deterministic models describing the dynamics of two plant species whose characteristics are common to the majority of annual plants. 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? In the particular case study modeled, 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. These mathematical studies will be valuable to mathematical biologists, botanists, botanists interested in population dynamics, and graduate students in these areas.

"...presents an interesting application of higher-level mathematical modeling to solving real world biological problems. It should be read by both applied mathematicians and biologists interested in competition theory." N.C. Kenkel, SIAM Reviews

Introduction
Mathematical formulation of the models
Analysis of the mathematical models: introduction
Model G - no interior equilibria
Model G - one interior equilibrium
Model 2
Application of the models
A single strain model with cropping
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521373883
ISBN-10: 0521373883
Series: Cambridge Studies in Mathematical Biology
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 208
Published: 31st March 2008
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.6
Weight (kg): 0.48