动态小世界社团网络上的病毒传播研究  

Epidemic Spreading in Dynamic Small-World Networks with Community Structure

作　　者：李婵婵[1] 蒋国平[2] 宋玉蓉[2] 

机构地区：[1]南京邮电大学计算机学院,南京210003 [2]南京邮电大学自动化学院,南京210003

出　　处：《复杂系统与复杂性科学》2014年第3期33-39,共7页Complex Systems and Complexity Science

基　　金：教育部高等学校博士点基金(20103223110003);教育部人文社科规划基金(12YJAZH120);江苏省自然科学基金(BK2010526)

摘　　要：考虑到很多现实网络具有社团结构和小世界特性,提出结构强度可调的具有社团结构的动态小世界网络模型,它能模拟现实生活中的本地接触和移动接触现象,并基于平均场理论,建立该网络上的SIR病毒传播模型。研究表明:社团间长程移动率越大,病毒传播临界值越小,传播规模越大;社团结构越强,传播临界值越大,即强社团结构抑制病毒传播;另外,加强对社团间长程移动的控制,对控制病毒爆发具有重要作用。Since many real networks generally have community structures and characteristics of small world,we propose a dynamical small-world network model with strength-tunable community,which can describe the phenomena of local contacts and moving contacts in real life.Then we construct a SIR transmission model on the proposed network on the basis of mean-field theory.Simulations and analysis show that,with the increase of inter-community long range jump probabilities,the epidemic threshold will decrease.And the larger the community strength is,the larger the epidemic threshold will be.Namely,large community degree can reduce the spreading of the virus.Additionally,in order to suppress the epidemic spreading,it is effective to strengthen the control of inter-community long range jump.

关 键 词：病毒传播 社团结构 动态小世界网络 长程移动 

分 类 号：O157.5[理学—数学]