Epidemics and percolation in small-world networks
Statistical Mechanics
2009-10-31 v2 Disordered Systems and Neural Networks
q-bio
Abstract
We study some simple models of disease transmission on small-world networks, in which either the probability of infection by a disease or the probability of its transmission is varied, or both. The resulting models display epidemic behavior when the infection or transmission probability rises above the threshold for site or bond percolation on the network, and we give exact solutions for the position of this threshold in a variety of cases. We confirm our analytic results by numerical simulation.
Cite
@article{arxiv.cond-mat/9911492,
title = {Epidemics and percolation in small-world networks},
author = {Cristopher Moore and M. E. J. Newman},
journal= {arXiv preprint arXiv:cond-mat/9911492},
year = {2009}
}
Comments
6 pages, including 3 postscript figures