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Stochastic epidemic models: a survey. (English) Zbl 1188.92031
Summary: 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.
MSC:
92D30Epidemiology
60J85Applications of branching processes
92C60Medical epidemiology
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