Abstract: By analyzing the deficiency of the existing network virus models, referring to the reality and considering the infectious disease models in biology, an improved Susceptible-Infected-Removed (SIR) computer virus propagation model with pre-immune measures was put forward. The authors considered the varying number of nodes and analyzed its impact on the spread of the virus in the network. In addition, several related dynamic properties were analyzed. The numerical simulation results demonstrate that improving pre-immune rate and controlling the nodes flow in the network can effectively constrain virus prevalence. And this model has inspiration to predict and prevent from computer virus propagation.

Key words: computer virus, Susceptible-Infected-Removed (SIR) model, anti-virus measure, dynamics, numerical simulation

摘要： 通过分析已有网络病毒模型的不足，结合现实情况，根据生物学中的传染病模型提出了一种改进的具有预先免疫措施的SIR计算机病毒传播模型，该模型充分考虑了网络中节点数量变化对病毒传播的影响。此外，利用微分方程理论分析了模型的动力学行为。数值模拟结果表明，提高预先免疫率和控制节点流动可以有效控制病毒在网络中的传播。

关键词: 计算机病毒, SIR模型, 反病毒措施, 动力学, 数值模拟