文章基本信息

标题：Dynamics of a delayed worm propagation model with quarantine
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作者：Zizhen Zhang ; Limin Song
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：155
DOI：10.1186/s13662-017-1212-4
语种：English
出版社：Hindawi Publishing Corporation
摘要：A delayed SEIQRS-V model with quarantine describing the dynamics of worm propagation is considered in the present paper. Local stability of the endemic equilibrium is addressed and the existence of a Hopf bifurcation at the endemic equilibrium is established by analyzing the corresponding characteristic equation. By means of the normal form theory and the center manifold theorem, properties of the Hopf bifurcation at the endemic equilibrium are investigated. Finally, numerical simulations are also given to support our theoretical conclusions.
关键词：SEIQRS-V model ; worms ; Hopf bifurcation ; periodic solutions