title: Reproduction numbers for epidemic models with households and other social structures. I. Definition and calculation of R0.
abstract: The basic reproduction number R(0) is one of the most important quantities in epidemiology. However, for epidemic models with explicit social structure involving small mixing units such as households, its definition is not straightforward and a wealth of other threshold parameters has appeared in the literature. In this paper, we use branching processes to define R(0), we apply this definition to models with households or other more complex social structures and we provide methods for calculating it.
authors.affiliation: MRC Centre for Outbreak Analysis and Modelling, Department of Infectious Disease Epidemiology, Imperial College London, United Kingdom. l.pellis05@imperial.ac.uk
authors.forename: Lorenzo
authors.initials: L
authors.lastname: Pellis
authors.forename: Frank
authors.initials: F
authors.lastname: Ball
authors.forename: Pieter
authors.initials: P
authors.lastname: Trapman
mesh_terms: D050936:Basic Reproduction Number; D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission; D005191:Family Characteristics; D006801:Humans; D008954:Models, Biological; D013269:Stochastic Processes
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