Age-of-infection and the final size relation

  • 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.

    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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  • 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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  • © 2008 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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