Modelling Epidemics on Networks
Popular Physics
2015-06-03 v2 Populations and Evolution
Abstract
Infectious disease remains, despite centuries of work to control and mitigate its effects, a major problem facing humanity. This paper reviews the mathematical modelling of infectious disease epidemics on networks, starting from the simplest Erdos-Renyi random graphs, and building up structure in the form of correlations, heterogeneity and preference, paying particular attention to the links between random graph theory, percolation and dynamical systems representing transmission. Finally, the problems posed by networks with a large number of short closed looks are discussed.
Cite
@article{arxiv.1111.4875,
title = {Modelling Epidemics on Networks},
author = {Thomas House},
journal= {arXiv preprint arXiv:1111.4875},
year = {2015}
}
Comments
17 Pages; 9 figures; 2 Tables. To appear in Contemporary Physics. Updated references