Literature DB >> 22660852

Two-patch population models with adaptive dispersal: the effects of varying dispersal speeds.

Ross Cressman1, Vlastimil Křivan.   

Abstract

The population-dispersal dynamics for predator-prey interactions and two competing species in a two patch environment are studied. It is assumed that both species (i.e., either predators and their prey, or the two competing species) are mobile and their dispersal between patches is directed to the higher fitness patch. It is proved that such dispersal, irrespectively of its speed, cannot destabilize a locally stable predator-prey population equilibrium that corresponds to no movement at all. In the case of two competing species, dispersal can destabilize population equilibrium. Conditions are given when this cannot happen, including the case of identical patches.

Mesh:

Year:  2012        PMID: 22660852     DOI: 10.1007/s00285-012-0548-3

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


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