Bifurcation and Chaos in a Parasitoid-Host-Parasitoid Model

Xijuan Liu, Yun Liu
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引用次数: 1

Abstract

This paper discusses a parasitoid-host-parasitoid ecological model and its dynamical behaviors. On the basis of the center manifold theorem and bi-furcation theory, the existence conditions of the flip bifurcation and Neimark-Sacker bifurcation are derived. In the end of the paper, some typical numerical experiments are performed, which illustrate that the theoretical method is effective.
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寄生蜂-寄主寄生蜂模型的分岔与混沌
本文讨论了寄生蜂-寄主寄生蜂生态模型及其动力学行为。基于中心流形定理和双分叉理论,导出了翻转分叉和Neimark-Sacker分叉的存在条件。最后,进行了一些典型的数值实验,验证了理论方法的有效性。
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