互连耦合网络的SIR传染病模型

SIR Infectious Disease Model on Interconnected Coupling Networks

考虑了包含层内接触和层间接触的双层相互连接的耦合网络,研究了基于该网络的SIR传染病模型.利用渗流理论和概率生成函数,研究了疾病的流行阈值和流行前疾病的平均暴发规模,分析了层内传播和层间传播对疾病传播的影响.通过研究发现,层内传播存在,引发疾病流行的层间传染率的临界值降低和流行规模增加.

Referring to different transmission probabilities of intra-layer contacts and inter-layer contacts,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,compared with the case of purely inter-layer contact,the outbreak threshold of inter-layer transmission is overestimated 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 major risk of increasing the number of disease incidences before the formal outbreak of diseases.