Evolutionary stability of ideal free dispersal strategies: A nonlocal dispersal model

Robert Cantrell, George Cosner, Yuan Lou, Daniel Ryan

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

An important question in the study of the evolution of dispersal is what kind of dispersal strategies are evolutionary stable. This work is motivated by recent work of Cosner et al. [9], in which they introduced a class of ideal free dispersal kernels and found conditions suggesting that they determine evolutionarily stable dispersal strategies. The goals of this paper are to introduce a more general class of ideal free dispersal kernels and further to show that such ideal free dispersal strategies are indeed evolutionary stable. Our work also extends some recent work on the evolutionary stability of ideal free dispersal for reaction-diffusion equations and patch models to nonlocal dispersal models.

Original languageEnglish (US)
Pages (from-to)15-38
Number of pages24
JournalCanadian Applied Mathematics Quarterly
Volume20
Issue number1
StatePublished - Mar 2012

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Model
kernel
Strategy
Reaction-diffusion Equations
Patch
Class

Keywords

  • Evolution of dispersal
  • Evolutionarily stable strategy
  • Ideal free distribution
  • Nonlocal dispersal

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Evolutionary stability of ideal free dispersal strategies : A nonlocal dispersal model. / Cantrell, Robert; Cosner, George; Lou, Yuan; Ryan, Daniel.

In: Canadian Applied Mathematics Quarterly, Vol. 20, No. 1, 03.2012, p. 15-38.

Research output: Contribution to journalArticle

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