P2P网络上被动型蠕虫传播建模和模拟分析

Modeling and simulation analysis of spreading passive worms on P2P networks

鉴于被动型蠕虫容易通过P2P网络传播,对网络的安全构成了威胁,建立一个动力学模型来研究P2P网络上被动型蠕虫的传播。与现有的被动型蠕虫传播模型相比,建立的模型考虑网络异质性和一次搜索允许的跳数,利用初始时刻感染节点单调上升的方法得到基本再生数R0,给出最终规模,通过随机模拟与数值模拟的比较,验证模型合理性,考察网络拓扑和跳数对被动型蠕虫传播的影响。研究结果表明,若R0>1,增加跳数会加快被动型蠕虫的传播导致感染节点增加;若R0<1,随着跳数的增加感染节点的数量迅速减少,最终变为0;不同的网络结构对被动型蠕虫的传播产生了一定的影响。

Passive worms are prone to spread through Peer-to-Peer networks,and they pose a threat to the security of the network.A dynamical model was proposed to study the propagation of passive worms on Peer-to-Peer networks.Compared with existing passive worm propagation models,network heterogeneity and the number of hops a search can reach were considered in the proposed model.The basic reproduction number R0 was derived using the monotone increasing method of infected nodes at initial time and the final size was given.The rationality of the model was verified by comparing the stochastic simulation with the numerical simulation.The effects of network topology and hop count on passive worm propagation were investigated.The results show that if R0 >1,the propagation speed of passive worms is accelerated with the increase of hop count,which increases the number of infected nodes.If R0 <1,the number of infected nodes decreases rapidly with the increase of hop count and drops to zero eventually.Moreover,different network structures have certain effects on the propagation of passive worms.