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R0的多种形式(一篇教学笔记)

The many guises of R0 (a didactic note).

作者信息

Cushing J M, Diekmann Odo

机构信息

Department of Mathematics and Interdisciplinary Program in Applied Mathematics, University of Arizona, 617 N. Santa Rita, Tucson, AZ 85721, USA.

Mathematisch Instituut, Universiteit Utrecht, PO Box 80.010, 3508 TA Utrecht, The Netherlands.

出版信息

J Theor Biol. 2016 Sep 7;404:295-302. doi: 10.1016/j.jtbi.2016.06.017. Epub 2016 Jun 16.

Abstract

The basic reproduction number R0 is, by definition, the expected life time number of offspring of a newborn individual. An operationalization entails a specification of what events are considered as "reproduction" and what events are considered as "transitions from one individual-state to another". Thus, an element of choice can creep into the concretization of the definition. The aim of this note is to clearly expose this possibility by way of examples from both population dynamics and infectious disease epidemiology.

摘要

根据定义,基本繁殖数R0是一个新生个体一生中预期产生的后代数量。对其进行操作化需要明确规定哪些事件被视为“繁殖”,哪些事件被视为“从一种个体状态转变为另一种个体状态”。因此,在定义的具体化过程中可能会出现选择的因素。本注释的目的是通过种群动态学和传染病流行病学的例子来清楚地揭示这种可能性。

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