计算机科学 ›› 2016, Vol. 43 ›› Issue (Z6): 64-67.doi: 10.11896/j.issn.1002-137X.2016.6A.014
顾海俊,蒋国平,夏玲玲
GU Hai-jun, JIANG Guo-ping and XIA Ling-ling
摘要： 针对SIRS(Susceptible-Infected-Removed-Susceptible)病毒传播模型,利用状态转移概率的方法,通过计算节点处于各个状态的概率来研究SIRS病毒传播过程。首先建立状态概率方程组,描述各个时刻各个节点处于易感染态、感染态、免疫态的概率,通过稳态分析理论推导网络的病毒传播临界值；然后利用蒙特卡罗方法,对均匀网络和非均匀网络的病毒传播临界值进行分析和仿真。结果表明,相对于传统的平均场方法,基于状态概率方程组模型求得的传播临界值更加接近真实蒙特卡罗值,并且与免疫丧失率无关。
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