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In this paper, a predator-prey system with Beddington-DeAngelis functional response is studied, where the n predators prey on one prey. Using the continuation theorem of coincidence degree theory and analysis techniques, a criteria for the existence of periodic solutions of predator-prey models with the Beddington-DeAngelis functional response governed by impulsive differential equations is established. Further, some numerical simulations show that our models can occur in many forms of complexities including periodic oscillation and Gui chaotic strange attractor.

The Existence and Simulations of Periodic Solution of Predator-Prey Models with Beddington-DeAngelis Functional Response and Impulsive Perturbations