具有社团结构的加权网络的病毒传播研究

In this paper we construct a weighted network with community structure inspired by BBV network model. Based on the network, we use SI virus spreading model to study the influence of the weight coefficient and the community strength on the epidemic spreading. The results prove that a larger weight coefficient is helpful to control the epidemic spreading because it takes more time for the virus from the source community of infection to spread to other communities when the weights coefficient is larger. Moreover, in the weighted scale-free networks a weaker community structure can help to control the epidemic spreading while in the unweighted networks the results are diametrically opposite.