Age-of-infection and the final size relation
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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| Format: | Article |
| Language: | English |
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AIMS Press
2008-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.681 |
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| _version_ | 1832590207138922496 |
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| author | Fred Brauer |
| author_facet | Fred Brauer |
| author_sort | Fred Brauer |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-aeddc52991584e6aac54e9e47ed38f6c |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-aeddc52991584e6aac54e9e47ed38f6c2025-01-24T01:58:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-09-015468169010.3934/mbe.2008.5.681Age-of-infection and the final size relationFred Brauer0Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2We 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.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.681final size relationepidemic modelsbasic reproductionnumberage of infection |
| spellingShingle | Fred Brauer Age-of-infection and the final size relation Mathematical Biosciences and Engineering final size relation epidemic models basic reproductionnumber age of infection |
| title | Age-of-infection and the final size relation |
| title_full | Age-of-infection and the final size relation |
| title_fullStr | Age-of-infection and the final size relation |
| title_full_unstemmed | Age-of-infection and the final size relation |
| title_short | Age-of-infection and the final size relation |
| title_sort | age of infection and the final size relation |
| topic | final size relation epidemic models basic reproductionnumber age of infection |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.681 |
| work_keys_str_mv | AT fredbrauer ageofinfectionandthefinalsizerelation |