【摘要】 不同于经典扩散模型中节点传染力等同于节点度k的假定,基于交通流量的病毒扩散模型中,各个节点的传染力可以等同于节点实际介数bk。利用平均场近似方法,提出了基于交通流量的SIS病毒修正扩散模型。根据此SIS模型,以最小搜索信息路由为例,重新研究在节点处理能力有限或无限情况下,病毒传播率β、平均发包率λ与传播阈值βc、平稳状态病毒密度ρ之间的关系。更多还原

【Abstract】 Different from the classical epidemic models,the infectivity of a node is decided by its actual betweenness bk in the epidemic model based on traffic-flow other than degree k.Utilizing the mean-field theory,we proposed a modified SIS epidemic model based on traffic-flow.With this model,taking MIP route as an example,we re-studied the relationship between the spreading probability β,the traffic generation rate λ and the epidemic threshold βc,the stationary density of infected nodes ρ considering the scenarios in which the delivery capability of the nodes is bounded or unbounded.更多还原