Chaos in three species food chain system with impulsive perturbations

Shuwen Zhang and Lansun Chen

Chaos, Solitons & Fractals, 2005, vol. 24, issue 1, 73-83

Abstract: In this paper, we investigate three species food chain system with periodic constant impulsive perturbations of mid-level predator. Conditions for extinction of lowest-level prey and top predator are given. By using the Floquet theory of impulsive equation and small amplitude perturbation skills, we consider the local stability of lowest-level prey and top predator eradication periodic solution. Further, influences of the impulsive perturbations on the inherent oscillation are studied numerically, which shows the rich dynamics (for example: period doubling, period halfing, non-unique dynamics) in the positive octant. The dynamics behavior is found to be very sensitive to the parameter values and initial value.

Date: 2005
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:1:p:73-83

DOI: 10.1016/j.chaos.2004.07.014

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