摘要： 针对已有的SIR病毒模型并没有很好地反映现实计算机网络中节点状态转换的问题，根据生物学传染病原理，结合已有的SIR模型，提出一个新的SIRS计算机病毒传播模型。利用微分方程理论分析该模型的动力学行为，发现基本再生数R0的取值是影响网络中病毒是否能彻底控制的关键。数值模拟结果表明，该模型能有效地预测和控制计算机网络病毒的传播。

关键词: 病毒模型, 计算机病毒, 动力学行为, 信息安全

Abstract: Since existing SIR models do not accurately capture the properties of node state transition in real computer networks, this paper proposes a new SIRS computer viruses propagation model based on the principle of biological epidemic viruses. By analyzing the dynamic of this model using the theory of differential equations, it finds that the basic renewal parameter, R0, is the key factor which determines whether the computer viruses can be completely controlled. Numerical simulation results show that the model provides a good theoretical basis for the control and prediction of the propagation performance of the computer viruses.

Key words: virus model, computer virus, dynamic properties, information security

中图分类号: 

• TP391