不成熟社会关系网络中电子邮件病毒的扩散行为

Epidemic spreading of the email on the immature social relationship networks

在SIR规则基础上,研究了在不成熟社会关系网络中电子邮件病毒的扩散行为,并利用速率方程给出了得到流行病阈值所应满足的条件。得到初始邮件网络始终不会达到阈值条件,即该网络中的病毒始终局限在一定的范围内,不会大规模蔓延。数值模拟的结果跟解析结果是吻合的。同时我们也给出了初始邮件网络中的产生周期和删除周期,以及产生阈值和删除阈值对流行病平均大小的影响。

Based on SIR rules, we study the epidemic spreading of email on the immature social relationship networks, and present the conditions of epidemic threshold by rate equations. We get analytically and numerically that the epidemic spreading cannot reach the threshold, which means the epidemics are localized at a limited area. Meanwhile we calculate the influence of generated period and deleted period on the average epidemic sizes.