title: Evolutionary stability of ideal free nonlocal dispersal.
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.
authors.affiliation: Department of Mathematics, University of Miami, Coral Gables, FL 33124, USA. c.cosner@math.miami.edu
authors.forename: Chris
authors.initials: C
authors.lastname: Cosner
authors.forename: Juan
authors.initials: J
authors.lastname: Dávila
authors.forename: Salomé
authors.initials: S
authors.lastname: Martínez
mesh_terms: D063147:Animal Distribution / Q000502:physiology*; D000818:Animals; D005075:Biological Evolution; D008954:Models, Biological