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Home > Education > Mathematics > Spatial Ecology via Reaction-Diffusion Equations
Spatial Ecology via Reaction-Diffusion Equations
by Cantrell, Robert Stephen
 
 
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Spatial Ecology via Reaction-Diffusion Equations
"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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Title of ebook: Spatial Ecology via Reaction-Diffusion Equations
ISBN: 9780470871287
parent-ISBN: 9780471493013
Publisher: John Wiley & Sons, Ltd.
Internet download file size: 2895 kb
Published: 11-2003
Released online for download: 11-19-2003
Author of eBook: Cantrell, Robert Stephen
Joint Author: Cosner, Christopher
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Spatial Ecology Via Reaction-Diffusion Equations


Chapter One

Introduction

1.1 Introductory Remarks

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. Empirical evidence suggests that the spatial scale and structure of environments can influence population interactions (Gause, 1935; Huffaker, 1958) and the composition of communities (MacArthur and Wilson, 1967). In recent decades the role of spatial effects in maintaining biodiversity has received a great deal of attention in the literature on conservation; see for example Soulh (1986) or Kareiva et al. (1993). One of the most common ways that human activities alter environments is by fragmenting habitats and creating edges. Some habitat fragments may be designated as nature reserves, but they are fragments nonetheless.

One way to try to understand how spatial effects such as habitat fragmentation influence populations and communities is by using mathematical models; ... read full excerpt from Spatial Ecology via Reaction-Diffusion Equations ebook



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