新个体的加入及初始条件对疾病传播的影响  

Effects of New Individual’s Addition and Initial Condition on Epidemic Spreading

作　　者：欧阳敏[1] 余明晖[1] 王高峡[1] 栾恩杰[1] 

机构地区：[1]华中科技大学系统工程,武汉430074

出　　处：《系统仿真学报》2008年第10期2726-2731,共6页Journal of System Simulation

基　　金：国家自然科学基金资助项目(60074008;60574025);湖北省自然科学基金资助项目(2004ABA055)

摘　　要：用复杂网络理论构建人群关系网,采用随机差分方程组等价描述SIS模型与SIR模型的疾病传播过程,通过方程组,理论上得到了某些一般性结论。然后讨论了由于新个体加入使网络变复杂的传播情况,通过仿真发现,新加个体的重要度及人群关系网的拓扑结构对疾病传播过程有影响。此外,研究了SIR模型中不同初始感染个体对疾病传播的影响,当初始个体是随机选取或来自不同k-center时,传播过程有明显的不同。而且对个体数目及平均度相同的网络,在相同条件下,网络的深度越小,感染的人数越多。Complex network theory was used to establish the relationships between people, with random difference equations to describe the epidemic process on SIS model and SIR model From the equations, some general results were got. And then the epidemic prevalence was discussed when networks became more complex because of new individual＇s addition, through simulation, it was found the differences on epidemic processes were dependent on the importance of new individual and the topology of original networks. In addition, the effects of initial condition on the SIR model were studied. The epidemic processes were obviously different when initial infected individuals were selected randomly or from different k-center. What＇s more, for networks with the same number of total individuals and mean degree, under the similar condition, the smaller depth of networks might cause a larger outbreak.

关 键 词：复杂网络 疾病传播 SIS模型 SIR模型 

分 类 号：TP393[自动化与计算机技术—计算机应用技术] N94[自动化与计算机技术—计算机科学与技术]