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Research Article Open access CC BY 3.0

A Food Chain Model with Ratio-dependent Functional Response, Impulsive Perturbations and Feedback Controls

Jian-wen Jia, Jian-feng Liu

Journal of Advances in Mathematics and Computer Science · pp. 126–136 · Published 13 Oct 2012

10.9734/BJMCS/2012/1230

Abstract

In this paper, a food chain system with ratio-dependent functional response, impulses,feedback controls and delays is studied. By using the theorem of coincidence degree, homotopy invariance property and Lyapunov’s approach, a set of sufficient conditions for ensuring the existence and stability of positive periodic solutions of the system are derived. The results extend some recent works.

Predator-prey system Feedback controls Impulses Delays Periodic solution Coincidence degree.

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