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 language | English |
---|---|
Pages (from-to) | 615-632 |
Number of pages | 18 |
Journal | Journal of Difference Equations and Applications |
Volume | 19 |
Issue number | 4 |
DOIs | |
State | Published - Apr 2013 |
Keywords
- competitive system
- cooperative system
- dispersal
- global asymptotic stability
- uniform persistence