Epidemics on random graphs with tunable clustering
Probability
2007-08-30 v1
Abstract
In this paper, a branching process approximation for the spread of a Reed-Frost epidemic on a network with tunable clustering is derived. The approximation gives rise to expressions for the epidemic threshold and the probability of a large outbreak in the epidemic. It is investigated how these quantities varies with the clustering in the graph and it turns out for instance that, as the clustering increases, the epidemic threshold decreases. The network is modelled by a random intersection graph, in which individuals are independently members of a number of groups and two individuals are linked to each other if and only if they share at least one group.
Cite
@article{arxiv.0708.3939,
title = {Epidemics on random graphs with tunable clustering},
author = {Tom Britton and Maria Deijfen and Andreas Nordvall Lagerås and Mathias Lindholm},
journal= {arXiv preprint arXiv:0708.3939},
year = {2007}
}
Comments
17 pages, 1 figure