文章基本信息

标题：Bifurcation analysis in a delayed computer virus model with the effect of external computers
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作者：Zizhen Zhang ; Dianjie Bi
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：317
DOI：10.1186/s13662-015-0652-y
语种：English
出版社：Hindawi Publishing Corporation
摘要：A delayed Susceptible-Infected-External (SIE) computer virus propagation model is investigated in the present paper. The linear stability conditions are obtained with characteristic root method. The Hopf bifurcation is demonstrated. Furthermore, some explicit formulae for determining the stability and the direction of the Hopf bifurcation are derived by using the normal form theory and the center manifold theorem. Finally, numerical simulations are carried out to support the theoretical predictions.
关键词：computer virus propagation model ; delay ; Hopf bifurcation ; stability