Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks
Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks
复制标题
解决网络上易感者-感染者-易感者模型的动态相关问题
DOI：
10.1103/physrevlett.116.258301
复制
发表时间：
2016-06-21
影响因子：
8.6
通讯作者：
Guan, Jian-Yue
中科院分区：
文献类型：
--
作者：
Cai, Chao-Ran;Wu, Zhi-Xi;Guan, Jian-Yue
The susceptible-infected-susceptible (SIS) model is a canonical model for emerging disease outbreaks. Such outbreaks are naturally modeled as taking place on networks. A theoretical challenge in network epidemiology is the dynamic correlations coming from that if one node is infected, then its neighbors are likely to be infected. By combining two theoretical approaches-the heterogeneous mean-field theory and the effective degree method-we are able to include these correlations in an analytical solution of the SIS model. We derive accurate expressions for the average prevalence (fraction of infected) and epidemic threshold. We also discuss how to generalize the approach to a larger class of stochastic population models.
