Periodic Solution of a Nonautonomous Predator-Prey System of Holling Type II with Strong Allee Effect and Impulsive Perturbations

Yu-shu SUN, Kai-hua WANG, Zhan-Ji GUI

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

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