Abstract：Considering many real networks have the community structure property, in this paper, by introducing modularity coefficient and under its control, we build a community network model based on random network, which is used to simulate the real social networks. Then we investigate the epidemic spreading behaviors by mean field theory and get the mathematical expression of epidemic threshold, we also verify it by Monte Carlo simulations. It is found that the existing of community structure can change the network degree distribution, namely, the stronger community structure networks have wider degree distribution. And the stronger the community structure is, the smaller the virus spread critical value will be. Moreover, when the infection rate far away from the epidemic threshold, the transmission sizes of networks with different community structure intensity almost the same, that is, the change of modularity coefficient barely affects the epidemic prevalence.
李婵婵, 蒋国平. 社团结构网络环境下SIS病毒传播建模与分析[J]. 复杂系统与复杂性科学, 2016, 13(2): 67-73.
LI Chanchan, JIANG Guoping. Modeling and Analysis of Epidemic Spreading on Community Structure Network[J]. Complex Systems and Complexity Science, 2016, 13(2): 67-73.
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