文章基本信息

标题：Complex dynamics in biological systems arising from multiple limit cycle bifurcation
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作者：P. Yu ; W. Lin
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2016
卷号：10
期号：1
页码：263-285
DOI：10.1080/17513758.2016.1166270
出版社：Taylor & Francis
摘要：In this paper, we study complex dynamical behaviour in biological systems due to multiple limit cycles bifurcation. We use simple epidemic and predator–prey models to show exact routes to new types of bistability, that is, bistability between equilibrium and periodic oscillation, and bistability between two oscillations, which may more realistically describe the real situations. Bifurcation theory and normal form theory are applied to investigate the multiple limit cycles bifurcating from Hopf critical point.
关键词：Dynamical system ; epidemic model ; predator–prey model ; stability ; Hopf bifurcation ; limit cycle ; normal form