具有相同被感染能力的SIR模型传播阈值存在性研究  

Existence of spreading threshold of a SIR model with identical infected ability

作　　者：徐道炜[1] 陈庆华[2] 刘金福[1] 章静[3] 

机构地区：[1]福建农林大学林学院,福建福州350002 [2]福建师范大学数学与计算机科学学院,福建福州350007 [3]福建工程学院计算机与信息科学系,福建福州350014

出　　处：《高师理科学刊》2009年第4期12-14,共3页Journal of Science of Teachers＇College and University

基　　金：福建省科技厅(K类)基金项目(2006F5035)

摘　　要：提出一个具有相同被感染能力的SIR模型.通过限制易感染节点连接边的感染能力,即易感染节点只能通过本身连边中的A条边受到感染,得出在非齐次不相关网络中,存在一个固定的传播阈值λc=1A:当λ≤1A时,病毒在网络中迅速消失;当λ>1A时,病毒在网络中传播扩散并感染一定比例的节点.A SIR model with identical infected ability was proposed. Through restricting the edges＇ infected ability of susceptible nodes that is they can be infected by A edges which own themselves, there was a fixed effective spreading threshold λc = 1/A in heterogeneous uncorrelated networks, virus in a network disappear rapidly when λ≤ 1/A and spread in the network with certain proportion of infection when λ〉 1/A.

关 键 词：SIR模型 感染能力 传播阈值 

分 类 号：O175[理学—数学]