A final size relation for epidemic models

Julien Arino; Fred Brauer; P. Van Den Driessche; James Watmough; Jianhong Wu

doi:10.3934/mbe.2007.4.159

A final size relation for epidemic models

Julien Arino
, Fred Brauer
, P. Van Den Driessche
, James Watmough
, Jianhong Wu

Research output: Contribution to journal › Article › peer-review

127 Scopus citations

Abstract

A final size relation is derived for a general class of epidemic models, including models with multiple susceptible classes. The derivation depends on an 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.

Original language	English (US)
Pages (from-to)	159-175
Number of pages	17
Journal	Mathematical Biosciences and Engineering
Volume	4
Issue number	2
DOIs	https://doi.org/10.3934/mbe.2007.4.159
State	Published - Apr 2007
Externally published	Yes

Keywords

Basic reproduction number
Epidemic models
Final size relation
Vertical transmission

ASJC Scopus subject areas

General Medicine
Modeling and Simulation
General Agricultural and Biological Sciences
Computational Mathematics
Applied Mathematics

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10.3934/mbe.2007.4.159

Cite this

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abstract = "A final size relation is derived for a general class of epidemic models, including models with multiple susceptible classes. The derivation depends on an 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.",

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KW - Epidemic models

KW - Final size relation

KW - Vertical transmission

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A final size relation for epidemic models

Abstract

Keywords

ASJC Scopus subject areas

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