基于交通流量的病毒爆发动力行为研究

Dynamical patterns of epidemic outbreaks on scale-free networks with traffic flow

给出基于交通流量的病毒扩散易染-感染模型(SI)修正模型,进而利用平均场近似方法,研究基于交通流量的病毒扩散动力学行为.以最小搜索信息路由为例,重新研究了SI模型下扩散系数τ与平均发包率λ、感染率β以及实际介数之间的关系.理论分析与实验结果均表明,当网络拓扑和路由策略一定时,扩散参数τ反比于平均发包率λ和感染率β,是λ=1时的扩散参数τ_(λ=1)的1/λ.

A modified susceptible-infected （SI） model is developed in this paper. The mean field approximation method is further adopted. This present research is based on traffic-driven epidemic spreading behavior. Take MIP routing for example, diffusion coefficient τ, traffic generation rate λ, infection rateβ and their relationship with the actual betweenness bk are re-explored under the SI model. Both the theoretical and experimental results indicate that under the same internet topology and routing strategy, the diffusion coefficient T is inversely proportional to average traffic generation rate A and infection rate β.