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Mathematical Biosciences and Engineering

2008, Volume 5, Issue 4: 681-690. doi: 10.3934/mbe.2008.5.681
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Age-of-infection and the final size relation

  • 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.

    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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