title: Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks.
abstract: 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.
authors.affiliation: Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou, Gansu 730000, China.
authors.forename: Chao-Ran
authors.initials: CR
authors.lastname: Cai
authors.affiliation: Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou, Gansu 730000, China.
authors.forename: Zhi-Xi
authors.initials: ZX
authors.lastname: Wu
authors.affiliation: Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong.
authors.forename: Michael Z Q
authors.initials: MZ
authors.lastname: Chen
authors.affiliation: Department of Energy Science, Sungkyunkwan University, Suwon 440-746, Korea.
authors.forename: Petter
authors.initials: P
authors.lastname: Holme
authors.affiliation: Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou, Gansu 730000, China.
authors.forename: Jian-Yue
authors.initials: JY
authors.lastname: Guan
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology*; D003198:Computer Simulation; D004196:Disease Outbreaks; D004198:Disease Susceptibility; D058872:Epidemics; D006801:Humans; D008962:Models, Theoretical