Abstract
In this paper, the existence of a periodic solution and the permanence of a periodic Watt-type predator-prey system where the prey disperses in patchy environment with two patches are investigated. With the continuation theorem of coincidence degree theory, we obtain the existence of a positive periodic solution for such a system. We assume the Watt-type functional response within-patch dynamics and provide a sufficient condition to guarantee the predator and prey species to be permanent. Furthermore, we give numerical analysis to confirm our theoretical results. It will be useful to ecosystem control.
| Original language | English |
|---|---|
| Pages (from-to) | 1684-1697 |
| Number of pages | 14 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 73 |
| Issue number | 6 |
| DOIs | |
| State | Published - 15 Sep 2010 |
Keywords
- Coincidence degree
- Dynamic system
- Impulsive perturbation
- Numerical analysis
- Periodic solution
- Predator-prey model
- Watt-type functional response
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