Stochastic epidemic models: A survey |
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Authors: | Tom Britton |
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Affiliation: | Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden |
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Abstract: | 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. |
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Keywords: | Basic reproduction number Critical vaccination coverage Household epidemic Multitype epidemic Stochastic epidemic Threshold theorem |
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