English

Dynamics of epidemic models from cavity master equations

Physics and Society 2021-03-02 v2 Populations and Evolution

Abstract

We apply the cavity master equation (CME) approach to epidemics models. We explore mostly the susceptible-infectious-susceptible (SIS) model, which can be readily treated with the CME as a two-state. We show that this approach is more accurate than individual based and pair based mean field methods, and a previously published dynamic message passing scheme. We explore average case predictions and extend the cavity master equation to SIR and SIRS models.

Keywords

Cite

@article{arxiv.2006.15881,
  title  = {Dynamics of epidemic models from cavity master equations},
  author = {Ernesto Ortega and David Machado and Alejandro Lage-Castellanos},
  journal= {arXiv preprint arXiv:2006.15881},
  year   = {2021}
}
R2 v1 2026-06-23T16:41:33.716Z