Existence of periodic solutions in predator-prey with Watt-type functional response and impulsive effects. (English) Zbl 1203.34073
The authors investigate a periodic Watt-type predator-prey system with impulsive perturbations at fixed moments of time. Sufficient conditions for the existence of a periodic solution are proved. The main results are obtained by using the continuation theorem of coincidence degree theory. The uniform persistence of the system is also studied.
Reviewer: Gani T. Stamov (Sliven)
MSC:
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
| 34A37 | Ordinary differential equations with impulses |
| 34C25 | Periodic solutions to ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
dynamic system; predator-prey model; Watt-type functional response; impulsive perturbation; coincidence degree; periodic solution; numerical analysisReferences:
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