SIS epidemic propagation on hypergraphs
Dynamical Systems
2016-10-31 v1 Physics and Society
Abstract
Mathematical modeling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact master equations of the propagation process are derived for an arbitrary hypergraph given by its incidence matrix. Based on these, moment closure approximation and mean-field models are introduced and compared to individual-based stochastic simulations. The simulation algorithm, developed for networks, is extended to hypergraphs. The effects of hypergraph structure and the model parameters are investigated via individual-based simulation results.
Keywords
Cite
@article{arxiv.1509.06260,
title = {SIS epidemic propagation on hypergraphs},
author = {Ágnes Bodó and Gyula Y. Katona and Péter L. Simon},
journal= {arXiv preprint arXiv:1509.06260},
year = {2016}
}