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  • 标题:Hopf bifurcation of a computer virus spreading model in the network with limited anti-virus ability
  • 本地全文:下载
  • 作者:Tao Zhao ; 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:2017
  • 卷号:2017
  • 期号:1
  • 页码:183
  • DOI:10.1186/s13662-017-1243-x
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A delayed computer virus spreading model in the network with limited anti-virus ability is proposed in the present paper. Local stability and the existence of a Hopf bifurcation are proved by taking the time delay as the bifurcation parameter and analyzing the distribution of the roots of the corresponding characteristic equation. Furthermore, properties of the Hopf bifurcation are investigated by using the normal form theory and the center manifold theorem. Finally, a numerical example is presented to demonstrate our obtained results.
  • 关键词:bifurcation ; computer virus ; SEIR model ; periodic solutions ; stability
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