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Zbl 1086.34043
Zhang, Shuwen; Chen, Lansun
A Holling II functional response food chain model with impulsive perturbations. (English)
[J] Chaos Solitons Fractals 24, No. 5, 1269-1278 (2005). ISSN 0960-0779

A food chain system with Holling-type II functional response and periodic constant impulsive perturbations is considered. Conditions for the extinction of the predator as a pest are given. Local stability of predator eradication periodic solution is studied. Influences of the impulsive perturbation on the inherent oscillation is studied numerically in the positive octant. Rich dynamic behavior appeared. The dynamic behavior is found to be sensitive to the parameter values and to the initial values. The reviewer's opinion is that despite its rich mathematical content, the language of this paper is poor.
[E. Ahmed (Mansoura)]

MSC 2000:: *34C60 Applications of qualitative theory of ODE
34A37 Differential equations with impulses
37N25 Dynamical systems in biology
34C25 Periodic solutions of ODE
34D20 Lyapunov stability of ODE
92D25 Population dynamics

Keywords: food chain; impulsive; Holling type II

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