Stochastic epidemic models: a survey

Details Stochastic epidemic models: a survey Stochastic epidemic models: a survey

2009-10-23

arxiv.org/abs/0910.4443v1

Mathematics

Probability

26 pages, 4 figures

Scientific paper

This paper is a survey paper on stochastic epidemic models. A simple stochastic epidemic model is defined and exact and asymptotic model properties (relying on a large community) 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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