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关于流行病模型中世代时间的一则注释。

A note on generation times in epidemic models.

作者信息

Svensson Ake

机构信息

Mathematical Statistics, Stockholm University and the Swedish Institute for Infectious Disease Control, SE-106 91 Stockholm, Sweden.

出版信息

Math Biosci. 2007 Jul;208(1):300-11. doi: 10.1016/j.mbs.2006.10.010. Epub 2006 Nov 9.

DOI:10.1016/j.mbs.2006.10.010
PMID:17174352
Abstract

The time between the infection of a primary case and one of its secondary cases is called a generation time. The distribution (and mean) of the generation times is derived for a rather general class of epidemic models. The relation to assumptions on distributions of latency times and infectious times or more generally on random time varying infectiousness, is investigated. Serial times, defined as the times between occurrence of observable events in the progress of an infectious disease (e.g., the onset of clinical symptoms), are also considered.

摘要

原发病例感染与其继发病例之一感染之间的时间间隔称为代间距。代间距的分布(及均值)是针对一类相当普遍的流行模型推导得出的。研究了其与潜伏期和传染期分布假设的关系,或者更一般地说,与随机时变传染性假设的关系。还考虑了序贯时间,序贯时间定义为传染病进展过程中可观察事件发生之间的时间(例如临床症状的发作时间)。

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