Reaction-diffusion equations and ecological modeling

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Citations (Scopus)

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 languageEnglish (US)
Title of host publicationLecture Notes in Mathematics
Pages77-115
Number of pages39
Volume1922
DOIs
StatePublished - 2008

Publication series

NameLecture Notes in Mathematics
Volume1922
ISSN (Print)00758434

Fingerprint

Ecological Modelling
Ecology
Reaction-diffusion Equations
Reaction-diffusion Model
Invasion
Spatial Pattern
Wave Front
Patch
Partial differential equation
Dynamical system
Propagation
Necessary
Model

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

Cite this

Cosner, G. (2008). Reaction-diffusion equations and ecological modeling. In Lecture Notes in Mathematics (Vol. 1922, pp. 77-115). (Lecture Notes in Mathematics; Vol. 1922). https://doi.org/10.1007/978-3-540-74331-6_3

Reaction-diffusion equations and ecological modeling. / Cosner, George.

Lecture Notes in Mathematics. Vol. 1922 2008. p. 77-115 (Lecture Notes in Mathematics; Vol. 1922).

Research output: Chapter in Book/Report/Conference proceedingChapter

Cosner, G 2008, Reaction-diffusion equations and ecological modeling. in Lecture Notes in Mathematics. vol. 1922, Lecture Notes in Mathematics, vol. 1922, pp. 77-115. https://doi.org/10.1007/978-3-540-74331-6_3
Cosner G. Reaction-diffusion equations and ecological modeling. In Lecture Notes in Mathematics. Vol. 1922. 2008. p. 77-115. (Lecture Notes in Mathematics). https://doi.org/10.1007/978-3-540-74331-6_3
Cosner, George. / Reaction-diffusion equations and ecological modeling. Lecture Notes in Mathematics. Vol. 1922 2008. pp. 77-115 (Lecture Notes in Mathematics).
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