首页    期刊浏览 2024年12月03日 星期二
登录注册

文章基本信息

  • 标题:Stability and Hopf Bifurcation Analysis for a Computer Virus Propagation Model with Two Delays and Vaccination
  • 本地全文:下载
  • 作者:Zizhen Zhang ; Yougang Wang ; 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:2017
  • 卷号:2017
  • DOI:10.1155/2017/3536125
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A further generalization of an SEIQRS-V (susceptible-exposed-infectious-quarantined-recovered-susceptible with vaccination) computer virus propagation model is the main topic of the present paper. This paper specifically analyzes effects on the asymptotic dynamics of the computer virus propagation model when two time delays are introduced. Sufficient conditions for the asymptotic stability and existence of the Hopf bifurcation are established by regarding different combination of the two delays as the bifurcation parameter. Moreover, explicit formulas that determine the stability, direction, and period of the bifurcating periodic solutions are obtained with the help of the normal form theory and center manifold theorem. Finally, numerical simulations are employed for supporting the obtained analytical results.
国家哲学社会科学文献中心版权所有