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Inhomogeneous epidemics on weighted networks
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
2012 (English)In: Mathematical Biosciences, ISSN 0025-5564, E-ISSN 1879-3134, Vol. 240, no 2, 124-131 p.Article in journal (Refereed) Published
Abstract [en]

A social (sexual) network is modeled by an extension of the configuration model to the situation where edges have weights, e.g., reflecting the number of sex-contacts between the individuals. An epidemic model is defined on the network such that individuals are heterogeneous in terms of how susceptible and infectious they are. The basic reproduction number R-0 is derived and studied for various examples, but also the size and probability of a major outbreak. The qualitative conclusion is that R-0 gets larger as the community becomes more heterogeneous but that different heterogeneities (degree distribution, weight, susceptibility and infectivity) can sometimes have the cumulative effect of homogenizing the community, thus making R-0 smaller. The effect on the probability and final size of an outbreak is more complicated.

Place, publisher, year, edition, pages
2012. Vol. 240, no 2, 124-131 p.
Keyword [en]
Basic reproduction number, Heterogeneity, Random network, stochastic epidemic model
National Category
Mathematics Other Biological Topics
URN: urn:nbn:se:su:diva-83824DOI: 10.1016/j.mbs.2012.06.005ISI: 000311070600005OAI: diva2:577099


Available from: 2012-12-14 Created: 2012-12-14 Last updated: 2012-12-14Bibliographically approved

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