title: Epidemics in a population with social structures.
abstract: We consider the long-time behavior of the simplest possible epidemic in a large homogeneous population that is not necessarily homogeneously mixing. Rather each individual is a member of a number of social structures. In a special case we compute the basic reproduction number, and we observe a threshold behavior as the population grows. The model is described in the framework of random graphs.
authors.affiliation: Department of Mathematics, Stockholm University, Sweden.
authors.forename: H
authors.initials: H
authors.lastname: Andersson
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology / Q000276:immunology; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D012931:Social Environment; D013269:Stochastic Processes