Periodic Solution of a Nonautonomous Predator-Prey System of Holling Type II with Strong Allee Effect and Impulsive Perturbations
Abstract
The principle of this paper is to explore the existence of periodic solution of a nonautonomous predator-prey system of Holling type II with strong Allee effect and impulsive perturbations. Sufficient and realistic conditions are obtained by using Mawhin’s continuation theorem of coincidence degree and analysis techniques. Further, some numerical simulations demonstrate our results.
Keywords
Periodic solution, Predator-prey system, Impulsive, Allee effect
DOI
10.12783/dteees/eesd2017/11992
10.12783/dteees/eesd2017/11992
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