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Part of book or chapter of book . 2008 . Peer-reviewed

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Further Notes on the Basic Reproduction Number

Name: Further Notes on the Basic Reproduction Number
Keywords: 3. Good health

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2008Publisher:Springer Berlin Heidelberg

Authors: James Watmough; P. van den Driessche;

doi: 10.1007/978-3-540-78911-6_6

Further Notes on the Basic Reproduction Number

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Abstract

The basic reproduction number, R0 is a measure of the potential for disease spread in a population. Mathematically, R0 is a threshold for stability of a disease-free equilibrium and is related to the peak and final size of an epidemic. The purpose of these notes is to give a precise definition and algorithm for obtaining R0 for a general compartmental ordinary differential equation model of disease transmission. Several examples of calculating R0 are included, and the epidemiological interpretation of this threshold parameter is connected to the local and global stability of a disease-free equilibrium.

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