文章基本信息

标题：Bifurcations and chaos in a discrete SI epidemic model with fractional order
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作者：Mahmoud A. M. Abdelaziz ; Ahmad Izani Ismail ; Farah A. Abdullah 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：44
DOI：10.1186/s13662-018-1481-6
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this study, a new discrete SI epidemic model is proposed and established from SI fractional-order epidemic model. The existence conditions, the stability of the equilibrium points and the occurrence of bifurcation are analyzed. By using the center manifold theorem and bifurcation theory, it is shown that the model undergoes flip and Neimark–Sacker bifurcation. The effects of step size and fractional-order parameters on the dynamics of the model are studied. The bifurcation analysis is also conducted and our numerical results are in agreement with theoretical results.
关键词：Discrete SI epidemic model with fractional order ; Center manifold theorem ; Flip bifurcation ; Neimark–Sacker bifurcation ; Chaos