Reaction-diffusion equations and ecological modeling

C. Cosner

doi:10.1007/978-3-540-74331-6_3

Reaction-diffusion equations and ecological modeling

C. Cosner

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

6 Scopus citations

Abstract

Reaction-diffusion equations are widely used as models for spatial effects in ecology. They support three important types of ecological phenomena: the existence of a minimal patch size necessary to sustain a population, the propagation of wavefronts corresponding to biological invasions, and the formation of spatial patterns in the distributions of populations in homogeneous environments. Reaction-diffusion equations can be analyzed by means of methods from the theory of partial differential equations and dynamical systems. we will discuss the derivation of reaction-diffusion models in ecology, sketch the basic aspects of their analysis, and describe some of their applications and mathematical properties.

Original language	English (US)
Title of host publication	Tutorials in Mathematical Biosciences IV
Subtitle of host publication	Evolution and Ecology
Publisher	Springer Verlag
Pages	77-115
Number of pages	39
ISBN (Print)	9783540743286
DOIs	https://doi.org/10.1007/978-3-540-74331-6_3
State	Published - Jan 1 2008

Publication series

Name	Lecture Notes in Mathematics
Volume	1922
ISSN (Print)	0075-8434

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ASJC Scopus subject areas

Algebra and Number Theory

Cite this

Cosner, C. (2008). Reaction-diffusion equations and ecological modeling. In Tutorials in Mathematical Biosciences IV: Evolution and Ecology (pp. 77-115). (Lecture Notes in Mathematics; Vol. 1922). Springer Verlag. https://doi.org/10.1007/978-3-540-74331-6_3

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Access to Document

10.1007/978-3-540-74331-6_3