A food chain model with impulsive perturbations and Holling IV functional response

Shuwen Zhang, Fengyan Wang and Lansun Chen

Chaos, Solitons & Fractals, 2005, vol. 26, issue 3, 855-866

Abstract: In this paper, we investigate a three trophic level food chain system with Holling IV functional responses and periodic constant impulsive perturbations of top predator. Conditions for extinction of predator are given. By using the Floquet theory of impulsive equation and small amplitude perturbation skills, we consider the local stability of predator eradication periodic solution. Further, influences of the impulsive perturbation on the inherent oscillation are studied numerically, which shows the rich dynamics in the positive octant.

Date: 2005
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:3:p:855-866

DOI: 10.1016/j.chaos.2005.01.053

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