A simple analysis of vaccination strategies for rubella
We consider an SEIR epidemic model with vertical transmission introduced by Li, Smith and Wang, [23], and apply optimal control theory to assess the effects of vaccination strategies on the model dynamics. The strategy is chosen to minimize the total number of infectious individuals and the cost ass...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.677 |
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| author | Bruno Buonomo |
| author_facet | Bruno Buonomo |
| author_sort | Bruno Buonomo |
| collection | DOAJ |
| description | We consider an SEIR epidemic model with vertical transmission introduced by Li, Smith and Wang, [23], and apply optimal control theory to assess the effects of vaccination strategies on the model dynamics. The strategy is chosen to minimize the total number of infectious individuals and the cost associated with vaccination. We derive the optimality system and solve it numerically. The theoretical findings are then used to simulate a vaccination campaign for rubella in China. |
| format | Article |
| id | doaj-art-3d5cb1e0ea50457ca8655c11ae5283e7 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-3d5cb1e0ea50457ca8655c11ae5283e72025-01-24T02:01:59ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-05-018367768710.3934/mbe.2011.8.677A simple analysis of vaccination strategies for rubellaBruno Buonomo0Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 NaplesWe consider an SEIR epidemic model with vertical transmission introduced by Li, Smith and Wang, [23], and apply optimal control theory to assess the effects of vaccination strategies on the model dynamics. The strategy is chosen to minimize the total number of infectious individuals and the cost associated with vaccination. We derive the optimality system and solve it numerically. The theoretical findings are then used to simulate a vaccination campaign for rubella in China.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.677vertical transmissionoptimal controlepidemic modelsrubella. |
| spellingShingle | Bruno Buonomo A simple analysis of vaccination strategies for rubella Mathematical Biosciences and Engineering vertical transmission optimal control epidemic models rubella. |
| title | A simple analysis of vaccination strategies for rubella |
| title_full | A simple analysis of vaccination strategies for rubella |
| title_fullStr | A simple analysis of vaccination strategies for rubella |
| title_full_unstemmed | A simple analysis of vaccination strategies for rubella |
| title_short | A simple analysis of vaccination strategies for rubella |
| title_sort | simple analysis of vaccination strategies for rubella |
| topic | vertical transmission optimal control epidemic models rubella. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.677 |
| work_keys_str_mv | AT brunobuonomo asimpleanalysisofvaccinationstrategiesforrubella AT brunobuonomo simpleanalysisofvaccinationstrategiesforrubella |