• DOI:10.1103/PhysRevLett.116.258301
• Corpus ID: 268391

Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks.

@article{Cai2016SolvingTD,
  title={Solving the Dynamic Correlation Problem of the Susceptible-Infected-Susceptible Model on Networks.},
  author={Chao-Ran Cai and Zhi-Xi Wu and Michael Z. Q. Chen and Petter Holme and Jian-Yue Guan},
  journal={Physical review letters},
  year={2016},
  volume={116 25},
  pages={
          258301
        }
}

• Chao-Ran Cai, Zhi-Xi Wu, +2 authors Jian-Yue Guan
• Published 7 June 2016
• Mathematics
• Physical review letters

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.