Canard Limit Cycle of the Holling-Tanner Model

Chongwu Zheng, Fengqin Zhang and Jianquan Li

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-6

Abstract:

By using the singular perturbation theory on canard cycles, we investigate the canard phenomenon for the Holling-Tanner model with the intrinsic growth rate of the predator small enough. The obtained result shows that there may be at most one canard limit cycle, and the range of small parameters is estimated. The phenomenon of outbreak is explained.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:856475

DOI: 10.1155/2014/856475

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