考虑交通流量的SIR-CA病毒传播模型

A SIR-CA Model for Epidemic Propagation Considering Traffic Flow

基于一维元胞自动机,考虑网络交通流量不均衡的特点,提出新的susceptible-infected-removed(SIR)病毒传播模型,研究病毒在复杂网络中的传播行为。研究表明,对于某些被治愈个体难以获得免疫能力的传染病,随着网络交通流量增大,病毒在网络中传播速度明显加快,并在更短的时间内达到稳定的更高的感染规模。研究还发现,对于某些被感染的个体一旦被治愈就立即获得了永久的免疫能力的传染病,增大网络通信流量可以加速病毒的消亡,提高网络中免疫节点的比例。

Based on the one-dimensional cellular automata and considering the features of the global interaction of information network＇s nodes and the unbalances of traffic flow,a new susceptible-infected-removed（SIR） model is proposed to study epidemic spreading in complex networks with traffic flow.Simulation results show that the propagation velocity increases obviously and the infection rate will reach a stable and higher scale in a shorter time with the traffic flow becoming large for some infectious diseases harder-to-get immunity ability.Moreover,the probability of virus disappearance is accelerated and the proportion of immune is improved with the traffic flow becoming large for some infectious diseases easier-to-get immunity ability.