动态演化的互联网病毒建模与分析

摘要

Internet is a growing scale-free network, accompanied by the propagation of computer virus. So its security has been a critical problem. This paper constructed a virus model where viruses spread on a increasingly evolving Internet and analyzed the dependence of the density for infected computers on its topology. All the results obtained here indicate that the larger the rate of network evolvement is, the faster virus spreads. Besides the higher the average degree of dynamic network is, the faster virus spreads. It also find that the higher connectivity the computers have, the higher the probability virus break out. All these findings will help for controlling Internet virus propagation.%互联网是一个不断生长的无标度网络,在其生长过程中伴随着计算机病毒的传播.基于此,兼顾静态和动态网络上的病毒传播过程,建立了含有拓扑结构演化的计算机病毒传播模型,研究了网络增长速度、网络平均度以及计算机连接度对病毒传播的影响.实验结果表明,网络演化速度越快,病毒传播也越快.同时平均度较高的网络更有助于病毒的传播.此外,病毒在爆发期间主要集中在连接度较大的计算机上.所得结论对控制病毒传播意义重大.