Age-of-infection and the final size relation

2008, Volume 5, Issue 4: 681-690. doi: 10.3934/mbe.2008.5.681

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1.
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2

Received: 01 November 2007 Accepted: 29 June 2018 Published: 01 October 2008
MSC : 92D30

We establish the final size equation for a general age-of-infection epidemic model in a new simpler form if there are no disease deaths (total population size remains constant). If there are disease deaths, the final size relation is an inequality but we obtain an estimate for the final epidemic size.
- final size relation,
- epidemic models,
- basic reproduction number,
- age of infection
Citation: Fred Brauer. Age-of-infection and the final size relation[J]. Mathematical Biosciences and Engineering, 2008, 5(4): 681-690. doi: 10.3934/mbe.2008.5.681

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Abstract

We establish the final size equation for a general age-of-infection epidemic model in a new simpler form if there are no disease deaths (total population size remains constant). If there are disease deaths, the final size relation is an inequality but we obtain an estimate for the final epidemic size.
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