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Spatial Ecology via Reaction-Diffusion Equations (Wiley Series in Mathematical & Computational Biology)
 
 
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Spatial Ecology via Reaction-Diffusion Equations (Wiley Series in Mathematical & Computational Biology) [Hardcover]

Robert Stephen Cantrell (Author), Chris Cosner (Author)

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Book Description

0471493015 978-0471493013 November 17, 2003
Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time). Such phenomena are classified as spatial in their nature and include all aspects of pollution. This book addresses the problem of modelling spatial effects in ecology and population dynamics using reaction-diffusion models.
* Rapidly expanding area of research for biologists and applied mathematicians
* Provides a unified and coherent account of methods developed to study spatial ecology via reaction-diffusion models
* Provides the reader with the tools needed to construct and interpret models
* Offers specific applications of both the models and the methods
* Authors have played a dominant role in the field for years
Essential reading for graduate students and researchers working with spatial modelling from mathematics, statistics, ecology, geography and biology.

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Editorial Reviews

Review

"…particularly attractive and useful for graduate students and other researchers who are interested in studying applications of reaction-diffusion theory to spatial ecology." (Mathematical Reviews, Issue 2007a)

"…I would recommend this book to anyone who wants a well supported journey into the modern theory of partial differential equations and dynamic systems…" (The Mathematical Gazette, March 2005)

From the Back Cover

Many ecological phenomena involve space as well as time and arise from a combination of random and deterministic processes. Such phenomena include the effects of habitat fragmentation, which is a common result of human activity and a major problem in biological conservation. Reaction-diffusion models provide one approach to describing how random movements and deterministic interactions between individuals combine to influence the dynamics of populations and the structure of ecological communities. Spatial Ecology via Reaction-Diffusion Equations addresses the problem of modeling spatial effects in ecology and population dynamics using reaction-diffusion models.
  • Provides broad coverage of a rapidly expanding area of research for ecologists and applied mathematicians.
  • Provides a unified and coherent account of methods developed to study spatial ecology via reaction-diffusion models.
  • Provides the reader with the tools needed to construct and interpret models.
  • Includes specific applications of both the models and the methods described.

Spatial Ecology via Reaction-Diffusion Equations provides a practical introduction to the subject for graduate students and researchers working in spatial modeling from mathematics, statistics, ecology, geography and biology.


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Inside This Book (learn more)
First Sentence:
A fundamental goal of theoretical ecology is to understand how the interactions of individual organisms with each other and with the environment determine the distribution of populations and the structure of communities. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
componentwise positive equilibrium, ecological permanence, interacting biological species, asymptotic ceilings, minimal patch size, conditional persistence, asymptotic floors, bounded habitat, abstract permanence, globally attracting equilibrium, positive principal eigenvalue, practical persistence, positive initial densities, numerical response terms, lethal boundary, positive equilibria, underlying spatial domain, establishing permanence, skew product semiflow, local competitive interactions, monotone dynamical systems, critical patch size, favorable patch, modeling regime, positive initial data
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Acyclicity Theorem, Green's Second Identity, John Wiley
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