离散时间下混合型良性蠕虫的建模仿真分析

Modeling and analysis of discrete-time hybrid-benign worms

为了更好地刻画良性蠕虫的传播过程,采用了离散时间模型。在离散时间下,考虑恶性蠕虫和良性蠕虫传播对网络的影响,对混合型良性蠕虫的传播过程进行分析和数学建模,通过仿真验证传播模型,并引入泰勒公式对关键参数进行分析比较。理论分析和仿真实验表明,在混合型良性蠕虫释放时间和网络性能一定的条件下,存在一个临界值使得切换时间最佳,而网络敏感度足够小时,不同的切换时间对感染类主机数量的变化几乎没有影响。

In order to better characterize the propagation of benign worm,this paper adopted a discrete-time model.Under discrete time,the paper analyzed the propagation of hybrid-benign worms and presented a mathematical modeling,which took account of the network influence due to the spread of malicious worms and benign worms.Finally,the simulation validated the propagation model,and the key parameters were compared and analyzed with Taylor Equation.The theoretical analysis and experimental results indicate that there exists a critical value of switch time under a defined release time of hybrid-benign worms and the certain performance of network.And when the sensitivity of the network is small enough,different switch time would have no influence on the movement of the number of the infected hosts.