物理学报2012，Vol.61Issue(15)：1-7,7.
基于交通流量的病毒扩散动力学研究
Epidemic spreading on scale-free networks with traffic flow
摘要
Abstract
The infectivity of a node is determined by its actual betweenness bk in the epidemic model based on traffic-flow other than degree k which is different from the classical epidemic models. Utilizing the mean-field theory, we propose a modified SIS epidemic model based on traffic-flow. With this model, taking MIP route as an example, we re-study the relationship among spreading probabilityβ, traffic generation rate λ, epidemic thresholdβc, the stationary density of infected nodes p. Both theoretical analysis and experimental results show thatβc is the ratio of the mean of the actual betweenness （bk） to its mean square （bk2）, when network topology and route strategy are given. Moreover, the stationary density of infected notes p behaves as power-law exponent with the reciprocal of the product of the spreading probability β, the traffic generation rate λ and the mean of the actual betweenness （bλ=l）.关键词
复杂网络/病毒扩散/SIS模型/实际介数Key words
complex networks/epidemic spreading/susceptible-infected-susceptible model/actual betweenness分类
数理科学引用本文复制引用
仇慎伟,王开,刘茜,裴文江,胡恒凯,杨光,蔚承建,张毅锋..基于交通流量的病毒扩散动力学研究[J].物理学报,2012,61(15):1-7,7.基金项目
国家自然科学基金 （）
教育部博士点基金 （）
江苏省自然科学基金 （）
江苏省远程测控重点实验室开放基金（YCCK201005）资助的课题 （）
