中北大学学报（自然科学版）2017，Vol.38Issue(5)：505-512,543,9.DOI:10.3969/j.issn.1673-3193.2017.05.001
互连耦合网络的SIR传染病模型
SIR Infectious Disease Model on Interconnected Coupling Networks
摘要
Abstract
Referring to different transmission probabilities of intra-layer contacts and inter-layer con-tacts,an infectious model on interconnected networks with intra-layer and inter-layer contact patterns was proposed.With the framework of probability generation function,the surface of the critical value could accurately be obtained,which helped to evaluate whether the disease would be epidemic or not, and the average size of infection when there was no epidemic.Interestingly,it is unveiled that,com-pared with the case of purely inter-layer contact,the outbreak threshold of inter-layer transmission is o-verestimated in the bipartite network and inter-layer transmission plays a determinate role in activating the larger-scale infection.In addition,it is shown that intra-layer transmission is the maj or risk of in-creasing the number of disease incidences before the formal outbreak of diseases.关键词
互连耦合网络/渗流/概率生成函数/流行阈值/平均暴发规模Key words
interconnected coupling network/percolation/probability generating function/epidemic threshold/average outbreak size分类
数理科学引用本文复制引用
李淑萍..互连耦合网络的SIR传染病模型[J].中北大学学报（自然科学版）,2017,38(5):505-512,543,9.基金项目
山西省应用基础研究面上青年基金项目(201601D021015) （201601D021015）
