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  • 标题:Delay-induced Hopf bifurcation of an SVEIR computer virus model with nonlinear incidence rate
  • 本地全文:下载
  • 作者:Tao Zhao ; Zizhen Zhang ; Ranjit Kumar Upadhyay
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:256
  • DOI:10.1186/s13662-018-1698-4
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We are concerned with the Hopf bifurcation of an SVEIR computer virus model with time delay and nonlinear incident rate. First of all, by analyzing the associated characteristic equation we obtain sufficient conditions for its local stability and the existence of a Hopf bifurcation. Directly afterward, by means of the normal form theory and the center manifold theorem we derive explicit formulas that determine the direction of the Hopf bifurcation and the stability of the bifurcated periodic solutions. Finally, we carry out numerical simulations to illustrate and verify the theoretical results.
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