Epidemic spreading in correlated complex networks
Statistical Mechanics
2009-11-07 v1 q-bio
Abstract
We study a dynamical model of epidemic spreading on complex networks in which there are explicit correlations among the node's connectivities. For the case of Markovian complex networks, showing only correlations between pairs of nodes, we find an epidemic threshold inversely proportional to the largest eigenvalue of the connectivity matrix that gives the average number of links that from a node with connectivity go to nodes with connectivity . Numerical simulations on a correlated growing network model provide support for our conclusions.
Cite
@article{arxiv.cond-mat/0205621,
title = {Epidemic spreading in correlated complex networks},
author = {Marian Boguna and Romualdo Pastor-Satorras},
journal= {arXiv preprint arXiv:cond-mat/0205621},
year = {2009}
}