Stochastic epidemic models: a survey
Probability
2009-11-05 v1 Statistics Theory
Applications
Methodology
Statistics Theory
Abstract
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.
Cite
@article{arxiv.0910.4443,
title = {Stochastic epidemic models: a survey},
author = {Tom Britton},
journal= {arXiv preprint arXiv:0910.4443},
year = {2009}
}
Comments
26 pages, 4 figures