Journal of Jishou University(Natural Sciences Edition)

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A Delayed SLBQRS Network Virus Propagation Model

ZHAO Tao,QI Zijian,XIE Weijie,YI Guanjie,HU Jinjing,ZHANG Zizhen   

  1. (School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,Anhui China)
  • Online:2017-11-25 Published:2017-12-29


A delayed SLBQRS computer virus model with graded infection rate is proposed in the present paper.Local stability of the viral equilibrium and the existence of a Hopf bifurcation are investigated by regarding the temporary immunity period delay as a bifurcation parameter.Sufficient conditions for the local stability and existence of a Hopf bifurcation are obtained.Finally,numerical simulations are carried out in order to verify the obtained results.

Key words: Hopf bifurcation, SLBQRS model, delay, stability

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