On application of optimal control to SEIR normalized models: Pros and cons
In this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with $L^1$ cost. We discuss the pros and cons o...
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| Format: | Article |
| Language: | English |
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AIMS Press
2017-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017008 |
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| author | Maria do Rosário de Pinho Filipa Nunes Nogueira |
| author_facet | Maria do Rosário de Pinho Filipa Nunes Nogueira |
| author_sort | Maria do Rosário de Pinho |
| collection | DOAJ |
| description | In this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with $L^1$ cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with $L^1$ costs are considered. Our discussion highlights the role of the cost. Additionally, we partially validate our numerical solutions for our optimal control problem with normalized models using the Maximum Principle. |
| format | Article |
| id | doaj-art-1130e068d0cc472e98d5bf4db2e6fc5f |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-1130e068d0cc472e98d5bf4db2e6fc5f2025-01-24T02:39:32ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-01-0114111112610.3934/mbe.2017008On application of optimal control to SEIR normalized models: Pros and consMaria do Rosário de Pinho0Filipa Nunes Nogueira1SYSTEC, DEEC, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, 4200–465 Porto, PortugalCTAC, Departamento de Engenharia Civil, Universidade do Minho, Campus de Gualtar, 4710-057 Braga, PortugalIn this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with $L^1$ cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with $L^1$ costs are considered. Our discussion highlights the role of the cost. Additionally, we partially validate our numerical solutions for our optimal control problem with normalized models using the Maximum Principle.https://www.aimspress.com/article/doi/10.3934/mbe.2017008optimal controlnecessary confitionsnormalized seir modelpublic healthepidemiology |
| spellingShingle | Maria do Rosário de Pinho Filipa Nunes Nogueira On application of optimal control to SEIR normalized models: Pros and cons Mathematical Biosciences and Engineering optimal control necessary confitions normalized seir model public health epidemiology |
| title | On application of optimal control to SEIR normalized models: Pros and cons |
| title_full | On application of optimal control to SEIR normalized models: Pros and cons |
| title_fullStr | On application of optimal control to SEIR normalized models: Pros and cons |
| title_full_unstemmed | On application of optimal control to SEIR normalized models: Pros and cons |
| title_short | On application of optimal control to SEIR normalized models: Pros and cons |
| title_sort | on application of optimal control to seir normalized models pros and cons |
| topic | optimal control necessary confitions normalized seir model public health epidemiology |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017008 |
| work_keys_str_mv | AT mariadorosariodepinho onapplicationofoptimalcontroltoseirnormalizedmodelsprosandcons AT filipanunesnogueira onapplicationofoptimalcontroltoseirnormalizedmodelsprosandcons |