title: Inhomogeneous epidemics on weighted networks.
abstract: 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.
authors: Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden. tom.britton@math.su.se
authors: Tom
authors: T
authors: Britton
authors: David
authors: D
authors: Lindenstrand
mesh_terms: D050936:Basic Reproduction Number; D058872:Epidemics; D005260:Female; D006801:Humans; D008297:Male; D008954:Models, Biological; D015233:Models, Statistical; D012749:Sexually Transmitted Diseases / Q000453:epidemiology / Q000635:transmission*