Epidemics on random graphs with tunable clustering
2008 (English)In: Journal of Applied Probability, ISSN 0021-9002, Vol. 45, no 3, 743-756 p.Article in journal (Refereed) Published
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. We investigate how these quantities vary with the clustering in the graph and find that, as the clustering increases, the epidemic threshold decreases. The network is modeled 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 there is at least one group that they are both members of.
Place, publisher, year, edition, pages
2008. Vol. 45, no 3, 743-756 p.
Epidemics; random graph; clustering; branching process; epidemic threshold
IdentifiersURN: urn:nbn:se:su:diva-25638DOI: 10.1239/jap/1222441827ISI: 000260171800014OAI: oai:DiVA.org:su-25638DiVA: diva2:200107
Part of urn:nbn:se:su:diva-83352008-11-272008-11-202012-03-07Bibliographically approved