Multiple Bifurcations and Chaos in a Discrete Prey-Predator System with Generalized Holling III Functional Response

Xia Liu, Yanwei Liu and Qiaoping Li

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-10

Abstract:

A prey-predator system with the strong Allee effect and generalized Holling type III functional response is presented and discretized. It is shown that the combined influences of Allee effect and step size have an important effect on the dynamics of the system. The existences of Flip and Neimark-Sacker bifurcations and strange attractors and chaotic bands are investigated by using the center manifold theorem and bifurcation theory and some numerical methods.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:245421

DOI: 10.1155/2015/245421

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