Chaos and Hopf bifurcation of a hybrid ratio-dependent three species food chain

Fengyan Wang and Guoping Pang

Chaos, Solitons & Fractals, 2008, vol. 36, issue 5, 1366-1376

Abstract: In this paper, we propose and study a model of a hybrid ratio-dependent three species food chain, which is constituted by a hybrid type subsystem of prey and middle-predator and a middle-top predators’ subsystem with Holling type-II functional response. We investigate the persistence and Hopf bifurcation of the system. Computer simulations are carried out to explain the mathematical conclusions. The chaotic attractor is obtained for suitable choice of parametric values.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:5:p:1366-1376

DOI: 10.1016/j.chaos.2006.09.005

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