文章基本信息

标题：SIS epidemic attractors in periodic environments
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作者：John E. Franke ; Abdul-Aziz Yakubu
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2007
卷号：1
期号：4
页码：394-412
DOI：10.1080/17513750701605630
出版社：Taylor & Francis
摘要：The demographic dynamics are known to drive the disease dynamics in constant environments. In periodic environments, we prove that the demographic dynamics do not always drive the disease dynamics. We exhibit a chaotic attractor in an SIS epidemic model, where the demograhic dynamics are asymptotically cyclic. Periodically forced SIS epidemic models are known to exhibit multiple attractors. We prove that the basins of attraction of these coexisting attractors have infinitely many components.
关键词：Basin of attraction ; Compact attractor ; Multiple attractors ; Periodic dynamical system