Coexistence in a discrete competition model with dispersal

Yunshyong Chow, Sophia R.J. Jang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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
Issue number4
StatePublished - Apr 2013


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


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