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  • 标题:A delayed e-epidemic SLBS model for computer virus
  • 本地全文:下载
  • 作者:Zizhen Zhang ; Sangeeta Kumari ; 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:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-24
  • DOI:10.1186/s13662-019-2341-8
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We propose an e-epidemic time-delay Susceptible-Latent-Breaking out-Susceptible ( $SLBS$ ) model to study delay dynamics appearing due to antivirus software, which takes time to clean the viruses from latent and breaking-out computers. We perform nonlinear stability analysis, Hopf bifurcation analysis, and its direction and stability. Numerical simulation results (time series analysis and bifurcation diagram) give useful insights for delay dynamics. We investigate the effect of the control parameters like rate of infection of all the classes and cure rates on the model system. Our results suggest that time delay is responsible for destabilizing the system dynamics. For smooth functionality of a computer system, our results suggest the minimum use of removable storage devices like smart phones, optical discs, memory cards, external hard disk, digital cameras, and so on and use of effective antivirus softwares.
  • 关键词:Time delay;SLBS model;Computer virus;Stability;Hopf bifurcation
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