Random dispersal versus fitness-dependent dispersal

Robert Cantrell, George Cosner, Yuan Lou, Chao Xie

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

This work extends previous work (Cantrell et al., 2008 [9]) on fitness-dependent dispersal for a single species to a two-species competition model. Both species have the same population dynamics, but one species adopts a combination of random and fitness-dependent dispersal and the other adopts random dispersal. Global existence of smooth solutions to the time-dependent quasilinear parabolic system is studied. When a single species has a strong tendency to move up its fitness gradient, it results in a stable equilibrium that can approximate the spatial distribution predicted by the ideal free distribution (Cantrell et al., 2008 [9]). For the two-species competition model, if one species has strong tendency to move up its fitness gradient, such approximately ideal free dispersal is advantageous relative to random dispersal. Bifurcation analysis shows that two competing species can coexist when one species has only an intermediate tendency to move up its fitness gradient and the other species has a smaller random dispersal rate.

Original languageEnglish (US)
Pages (from-to)2905-2941
Number of pages37
JournalJournal of Differential Equations
Volume254
Issue number7
DOIs
StatePublished - Apr 1 2013

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Fitness
Population dynamics
Dependent
Spatial distribution
Competition Model
Gradient
Quasilinear Parabolic Systems
Competing Species
Distribution-free
Bifurcation Analysis
Smooth Solution
Population Dynamics
Spatial Distribution
Global Existence

Keywords

  • 35K57
  • 92D25
  • Fitness-dependent dispersal
  • Random dispersal
  • Reaction-diffusion-advection

ASJC Scopus subject areas

  • Analysis

Cite this

Random dispersal versus fitness-dependent dispersal. / Cantrell, Robert; Cosner, George; Lou, Yuan; Xie, Chao.

In: Journal of Differential Equations, Vol. 254, No. 7, 01.04.2013, p. 2905-2941.

Research output: Contribution to journalArticle

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