SEIQ类疾病在小世界网络上的传播行为分析  

Analysis of SEIQ epidemic model in homogeneous complex networks

作　　者：楚扬杰[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,武汉430070

出　　处：《计算机工程与应用》2010年第19期106-108,119,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,建立了小世界网络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。利用平均场理论对疾病传播行为进行了解析研究,并对模型进行计算机数值仿真,证明该类疾病在小世界网络上的传播具有传染临界阈值,该阈值与网络拓扑结构、隔离率、潜伏期变为染病者的比率等因素有关,并说明潜伏期的感染率对该类疾病的传播具有重要的影响。As the number of the network nodes is constant,the epidemic model is set up with eclipse and quarantine in ho-mogeneous complex networks,in which,the susceptible nodes may become infected one because of the contact with eclipse or infected nodes,that is SEIQ epidemic model.The mean-field theory and numerical simulations with computer show that 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 均匀网络 平均场理论 仿真 临界阈值 

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