带可移动存储设备的P2G网络病毒传播模型

摘要

This paper established a dynamical model characterizing the spread of computer viruses with the influence of removable storage devices in P2G network.It imposed two assumptions:removable storage devices provided a way for the spread of computer viruses and the characteristic of viruses spreading in P2G network.With the help of the theory of differential dynamical system,finding that the model has unique virose equilibrium,which means any effort in eradicating viruses cannot succeed and the computer virus always exists in computers or removable storage devices.Moreover,investigated several related dynamic properties of virose equilibrium (the local and global asymptotically stable).Finally,it gave some illustrative examples to support the theoretical results.%基于计算机病毒可以通过可移动存储设备传播和P2G网络病毒传播的特点,提出了带可移动存储设备的P2G网络病毒传播模型.利用微分动力学系统理论分析发现该模型只存在唯一的有病毒平衡点,这意味着网络中的病毒将无法根除,即病毒既有可能存在于计算机中,也有可能存在于移动存储设备中.同时,研究了此平衡点的动力学特性(局部稳定性和全局稳定性),通过数值仿真验证了理论分析的正确性.