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  • 标题:Dynamical Analysis of a Computer Virus Propagation Model with Delay and Infectivity in Latent Period
  • 本地全文:下载
  • 作者:Zizhen Zhang ; Dianjie Bi
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2016
  • 卷号:2016
  • DOI:10.1155/2016/3067872
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A delayed SLB computer virus propagation model with infectivity in latent period is proposed in this paper. We establish sufficient conditions for local stability of the positive equilibrium and existence of Hopf bifurcation by analyzing distribution of the roots of the associated characteristic equation and applying the Hopf bifurcation theorem. Furthermore, properties of the Hopf bifurcation are determined by using the normal form theory and the center manifold theorem. Finally, numerical simulations supporting the theoretical analysis are carried out.
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