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网络蠕虫给网络造成了巨大的安全问题,这是由于网络蠕虫可以在网络中自动的传播并且不断的危害网络中的计算机.蠕虫在传播过程中的不断演化也给防御蠕虫提出一个巨大的挑战.提出了基于纯不连续马尔可夫过程的随机蠕虫传播模型.首先,基于纯不连续马尔可夫过程对于网络蠕虫进行了建模,并且讨论了模型的稳定性,极限分布以及平稳分布的存在性.然后,讨论了网络蠕虫在传播初期灭绝的充要条件.最后,仿真实验对于模型进行了验证.
Network worms cause great security problems to the network because the worms can spread automatically in the network and endanger the computers in the network constantly.The worm’s continuous evolution in the dissemination also poses a great challenge to the defense worms. A stochastic worm propagation model based on pure discontinuous Markov process is proposed.Firstly, the network worm is modeled based on pure discontinuous Markov process, and the stability, limit distribution and the existence of stationary distribution are discussed Then, the necessary and sufficient conditions for extinction of network worms in the early stage of propagation are discussed.Finally, the simulation experiments verify the model.