General compartmental epidemic models

Fred Brauer

doi:10.1007/s11401-009-0454-1

General compartmental epidemic models

Fred Brauer

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

2 Scopus citations

Abstract

The age of infection approach introduced by Kermack and Mckendrick in 1927 gives a unified way of describing and analyzing a variety of epidemic models, including models with multiple stages, treatment, and heterogeneous mixing. The author gives a description of the main results for such models, emphasizing the use of the final size relation to estimate the size of the epidemic.

Original language	English (US)
Pages (from-to)	289-304
Number of pages	16
Journal	Chinese Annals of Mathematics. Series B
Volume	31
Issue number	3
DOIs	https://doi.org/10.1007/s11401-009-0454-1
State	Published - May 2010
Externally published	Yes

Keywords

Basic reproduction number
Epidemic models
Final size relation
Treatment models

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1007/s11401-009-0454-1

Cite this

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abstract = "The age of infection approach introduced by Kermack and Mckendrick in 1927 gives a unified way of describing and analyzing a variety of epidemic models, including models with multiple stages, treatment, and heterogeneous mixing. The author gives a description of the main results for such models, emphasizing the use of the final size relation to estimate the size of the epidemic.",

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AB - The age of infection approach introduced by Kermack and Mckendrick in 1927 gives a unified way of describing and analyzing a variety of epidemic models, including models with multiple stages, treatment, and heterogeneous mixing. The author gives a description of the main results for such models, emphasizing the use of the final size relation to estimate the size of the epidemic.

KW - Basic reproduction number

KW - Epidemic models

KW - Final size relation

KW - Treatment models

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JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 3

ER -

General compartmental epidemic models

Abstract

Keywords

ASJC Scopus subject areas

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