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Zbl 1066.92061
Zhang, Shuwen; Wang, Fengyan; Chen, Lansun
A food chain model with impulsive perturbations and Holling IV functional response. (English)
[J] Chaos Solitons Fractals 26, No. 3, 855-866 (2005). ISSN 0960-0779

Summary: We investigate a three trophic level food chain system with Holling IV functional responses and periodic constant impulsive perturbations of the top predator. Conditions for extinction of the predator are given. By using the Floquet theory of impulsive equations and small amplitude perturbation skills, we consider the local stability of predator eradication periodic solutions. Further, influences of the impulsive perturbations on the inherent oscillations are studied numerically, which show the rich dynamics in the positive octant.

MSC 2000:: *92D40 Ecology
34D23 Global stability
34D05 Asymptotic stability of ODE

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