Coexistence in a discrete competition model with dispersal

Yunshyong Chow, Sophia R.J. Jang

Research output: Contribution to journal › Article

4 Scopus citations

Abstract

We propose a discrete-time competition model between two populations to study the effects of dispersal upon population interactions. It is assumed that dispersal occurs after reproduction and in synchrony. We first analyse a two-patch single species population model with no interspecific competition. Based on these results, we derive sufficient conditions for population coexistence. It is proved that the system is uniformly persistent and possesses a unique coexisting equilibrium.

Original languageEnglish
Pages (from-to)615-632
Number of pages18
JournalJournal of Difference Equations and Applications
Volume19
Issue number4
DOIs
StatePublished - Apr 2013

Keywords

  • competitive system
  • cooperative system
  • dispersal
  • global asymptotic stability
  • uniform persistence

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