文章基本信息

标题：Qualitative analysis for a delayed epidemic model with latent and breaking-out over the Internet
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作者：Zizhen Zhang ; Yougang Wang
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：31
DOI：10.1186/s13662-017-1074-9
语种：English
出版社：Hindawi Publishing Corporation
摘要：We generalize a delayed computer virus model, known as the SLBQRS model in a computer network, by introducing the time delay due to the period that the antivirus software uses to clean viruses in the breaking out computers and the quarantined computers. By choosing the delay as the parameter, we prove the existence of a Hopf bifurcation as the delay crosses a critical value. Moreover, we study properties of the Hopf bifurcation by applying the center manifold theorem and the normal form theory. Finally, we carry out numerical simulations to support the obtained theoretical conclusions.
关键词：computer virus ; Hopf bifurcation ; stability ; SLBQRS model