基于两阶段免疫接种的SIRS计算机病毒传播模型

摘要

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.%针对现有的带有免疫接种策略的病毒传播模型的不足,根据生物学中的传染病模型提出了带有阶段免疫接种特点的SIRS计算机病毒传播模型.该模型充分考虑了在达到感染阈值时免疫接种概率的变化对于病毒传播的影响.此外,利用动力学稳定性理论分析并证明了病毒平衡点的存在和稳定条件.数值仿真结果表明,提高免疫接种率和设定适当的感染阈值可以有效控制计算机病毒在网络中的传播.