复杂网络上具有分布式传染速率的流行病传播行为

提出一个改进的SI模型来研究分布式传染速率对复杂网络上的流行病传播的影响.与标准的SI模型不同,假定传播速率为几种典型的分布参数,如二值分布、均匀分布和指数分布.这种分布式的速率可以表示个体在传染性上的差异,这种差异可在很多真实的传染病中观察到.大量的数值仿真表明,这种分布式的传染速率能大大减小被感染结点的密度,减缓其动态传播过程,并且允许有更长的时间来采取相应的控制措施.因而,当前的研究结果对进一步理解网络上真实流行病的传播特性具有重要意义.

Behavior of epidemic spreading with distributed infection rate on complex networks

A modified Susceptible-Infected(SI) model was presented to study the effect of the distributed infection rate on epidemic spreading on complex networks.Different from the standard SI model,the spreading rate was assumed to take several typical distributions,such as two-point,uniform and exponential distributions.This kind of distributed rates can characterize the individual difference of infectivity observed in many real epidemics.Large-scale numerical simulations indicate that the distributed infection rate can significantly reduce the density of the infected nodes and slow down the dynamical propagation process.Moreover,longer time can be allowed to take corresponding control measures.Thus,current results are of high relevance for us to further understand the spreading properties of the real epidemics on complex networks.