Abstract

For the deficiency of the existing network virus models with immunization,considering the infectious disease model in biology,a Susceptible-Infected-Recovered-Susceptible(SIRS) computer virus propagation model with stage immunization was formulated.The varying probability of being vaccinated when the threshold was reached and its impact on the spread of the virus in the network were considered.Furthermore,with the help of the theory of dynamic stability analysis,the existence and stability conditions of equilibriums were studied.The numerical simulation results illustrate that improving the rate of vaccination and setting a reasonable threshold can effectively constrain virus prevalence in the network.

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