摘要: 本文主要研究异质群体中SIR型传染病的爆发流行规模对于传播速率的标度律。这里的标度律计算是基于键逾渗的方法，它是通过一个自组织方程得到的。在爆发阈值附近，如果底层结构(用度分布来刻画)不是非常异质的话，不同底层结构下的标度律系数是等于1的。但是，对于无标度的网络，在α＞4时，此时的标度律系数也是1；但当3＜α＜4和2＜α＜3时，标度律系数是大于1的且依赖于参数α的取值，即
。
Abstract:
In this paper, we study the scaling law of the outbreak prevalence of susceptible-infectious-re- moved epidemic
on the transmissibility. The scale of prevalence is calculated by bond percolation method, which is got through a self-consistent equation. Near the threshold region, we find that the scaling law coefficients of different media structures, which were represented by degree distributions, are equal to unity if the media is not so heterogeneous. For scale free networks, we find that when α＞4, the scaling law coefficient is 1; when 2＜α＜3, the scaling law coefficient is
; when 2＜α＜3 , the corresponding scaling law is
, which are bigger than one and depending on the parameter α .