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Stochastic epidemic models: A survey
Stockholm University, Faculty of Science, Department of Mathematics.
2010 (English)In: Mathematical Biosciences, ISSN 0025-5564, E-ISSN 1879-3134, Vol. 225, no 1, 24-35 p.Article in journal (Refereed) Published
Abstract [en]

This paper is a survey paper on stochastic epidemic models. A simple stochastic epidemic model is defined and exact and asymptotic (relying on a large community) properties are presented. The purpose of modelling is illustrated by studying effects of vaccination and also in terms of inference procedures for important parameters, such as the basic reproduction number and the critical vaccination coverage. Several generalizations towards realism, e.g. multitype and household epidemic models, are also presented, as is a model for endemic diseases.

Place, publisher, year, edition, pages
2010. Vol. 225, no 1, 24-35 p.
Keyword [en]
Basic reproduction number, Critical vaccination coverage, Household epidemic, Multitype epidemic, Stochastic epidemic, Threshold theorem
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-48993DOI: 10.1016/j.mbs.2010.01.006ISI: 000277819600004OAI: oai:DiVA.org:su-48993DiVA: diva2:376209
Note
authorCount :1Available from: 2010-12-10 Created: 2010-12-10 Last updated: 2017-12-11Bibliographically approved

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