文章基本信息

标题：Age of infection epidemic models with heterogeneous mixing
本地全文：下载
作者：Fred Brauer ; James Watmough
期刊名称：Journal of Biological Dynamics
印刷版ISSN：1751-3758
电子版ISSN：1751-3766
出版年度：2010
卷号：3
期号：2-3
页码：324-330
DOI：10.1080/17513750802415822
出版社：Taylor & Francis
摘要：We extend the age of infection epidemic models to populations divided into an arbitrary number of subgroups and derive a set of final size relations if there are no disease deaths. If there are disease deaths, the final size relations are inequalities, but it is possible to obtain bounds for the epidemic size in terms of the final size for the corresponding model without disease deaths and the disease death rates. If the mixing is proportionate, we obtain an explicit expression for the reproduction number of the model. The heterogeneous mixing age of infection epidemic model is a unified form that includes general compartmental structures and arbitrary distributions of stay in compartments as well as heterogeneity of mixing.
关键词：final size relations; reproduction number; disease transmission model; proportionate mixing; generalized delay