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  • 标题:Bifurcation analysis in a delayed computer virus model with the effect of external computers
  • 本地全文:下载
  • 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
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