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Zbl 1085.34529
Liu, Xianning; Chen, Lansun
Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator. (English)
[J] Chaos Solitons Fractals 16, No. 2, 311-320 (2003). ISSN 0960-0779

The authors consider the so called Holling-type II predator-prey model with logistic term, subjected to an impulsive periodic perturbation that corresponds to punctuated predator in-migration. In the first part of the paper, the authors give conditions for the existence of bounded nontrivial soutions of the perturbed system. In the second part of the paper, a numerical exploration of the system is given, with the forcing amplitude as a parameter. The bifurcation diagram exhibits complex dynamical behaviour characteristic for periodically forced nonlinear oscillators.
[Ana Nunes (Lisboa)]

MSC 2000:: *34C60 Applications of qualitative theory of ODE
34C15 Nonlinear oscillations of solutions of ODE
37N25 Dynamical systems in biology
34A37 Differential equations with impulses
34C23 Bifurcation (periodic solutions)
34C28 Other types of "recurrent" solutions of ODE

Keywords: predator-prey; impulsive perturbations

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