文中根据Barrat等提出的BBV网络的建模思想,考虑网络社团结构特性,构建一种具有社团结构的加权无标度网络模型,利用SI传染病模型,研究该网络模型中权值增长系数和网络社团强度对病毒传播行为的影响。结果表明,权值增长系数增大时,病毒由感染源社团扩散到其他社团的时间变长,进而抑制了网络中的病毒传播。另外,研究还表明,在加权无标度网络中,较弱的社团强度能抑制病毒的传播,这与无权网络中的结论正好相反。
In this paper, considering the feature of network community structure, construct a weighted network model with community structure inspired by BBV network modeling idea. Based on the network,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 weight 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.