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Reproduction numbers for epidemic models with households and other social structures. I. Definition and calculation of R-0
Stockholm University, Faculty of Science, Department of Mathematics.
2012 (English)In: Mathematical Biosciences, ISSN 0025-5564, E-ISSN 1879-3134, Vol. 235, no 1, 85-97 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2012. Vol. 235, no 1, 85-97 p.
Keyword [en]
SIR epidemic, Households, Basic reproduction number, R-0, Workplaces, Branching processes
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-76741DOI: 10.1016/j.mbs.2011.10.009ISI: 000299761300008OAI: oai:DiVA.org:su-76741DiVA: diva2:527325
Note
3Available from: 2012-05-19 Created: 2012-05-16 Last updated: 2017-12-07Bibliographically approved

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