Evolutionary stability of ideal free nonlocal dispersal

Chris Cosner, Juan Dávila, Salomé Martínez

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

We study the evolutionary stability of nonlocal dispersal strategies that can produce ideal free population distributions, that is, distributions where all individuals have equal fitness and there is no net movement of individuals at equilibrium. We find that the property of producing ideal free distributions is necessary and often sufficient for evolutionary stability. Our results extend those already developed for discrete diffusion models on finite patch networks to the case of nonlocal dispersal models based on integrodifferential equations. The analysis is based on the use of comparison methods and the construction of sub- and supersolutions.

Original languageEnglish (US)
Pages (from-to)395-405
Number of pages11
JournalJournal of biological dynamics
Volume6
Issue number2
DOIs
StatePublished - Mar 2012

Keywords

  • evolution of dispersal
  • evolutionarily stable strategy
  • ideal free distribution
  • intergrodifferential equations
  • nonlocal dispersal

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

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