A final size relation for epidemic models

A final size relation is derived for a general class of epidemic models, including models with multiple susceptible classes. The derivation depends onan explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic repr...

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Bibliographic Details
Main Authors: Julien Arino, Fred Brauer, P. van den Driessche, James Watmough, Jianhong Wu
Format: Article
Language:English
Published: AIMS Press 2007-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.159
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Summary:A final size relation is derived for a general class of epidemic models, including models with multiple susceptible classes. The derivation depends onan explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic reproduction number in models with vertical transmission. Applications are given to specific models for influenza and SARS.
ISSN:1551-0018