无标度网络上SEIQ类疾病传播行为分析  

Analysis of SEIQ epidemic model in scale-free networks

作　　者：楚杨杰[1] 周佳华[1] 汪金水[1] 黄樟灿[1] 

机构地区：[1]武汉理工大学理学院数学系

出　　处：《计算机工程与应用》2010年第5期108-110,113,共4页Computer Engineering and Applications

基　　金：国家天元基金资助(No.10726031)

摘　　要：在假定网络节点保持不变的情况下,建立了无标度网上具有潜伏节点且潜伏节点和感染节点均具有传染性,同时采取隔离措施的传染病模型,即SEIQ模型。并利用平均场理论对疾病传播行为进行了解析研究,求出了与网络拓扑结构、隔离率、潜伏期变为染病者的比率等因素有关的疾病传播临界条件,分析可得:当该临界条件小于1时,疾病发展为地方性疾病,当其大于1时,疾病消亡。然后,对该模型进行计算机数值仿真。仿真结果与理论分析相吻合,证明了传播阈值的存在性。It is assumed that the number of the network nodes is constant,and the epidemic model with eclipse and quarantine is in scale-free complex networks,in which the susceptible nodes may become infected ones because of the contact with eclipse or infected nodes,that is SEIQ epidemic model.By using the mean-field theory and numerical simulations with computer,the epidemic threshold of the model is concerned with the topology of networks,quarantine rate and the probability of an eclipsed individual becoming an infected individual.

关 键 词：SEIQ模型 无标度网络 平均场理论 仿真 

分 类 号：O231.5[理学—运筹学与控制论] N945.1[理学—数学]