An optimal control model to design strategies for reducing the spread of the Ebola virus disease
In this work, we formulate an epidemiological model for studying the spread of Ebola virus disease in a considered territory. This model includes the effect of various control measures, such as: vaccination, education campaigns, early detection campaigns, increase of sanitary measures in hospital, q...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2022082?viewType=HTML |
| _version_ | 1818897129844768768 |
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| author | Rama Seck Diène Ngom Benjamin Ivorra Ángel M. Ramos |
| author_facet | Rama Seck Diène Ngom Benjamin Ivorra Ángel M. Ramos |
| author_sort | Rama Seck |
| collection | DOAJ |
| description | In this work, we formulate an epidemiological model for studying the spread of Ebola virus disease in a considered territory. This model includes the effect of various control measures, such as: vaccination, education campaigns, early detection campaigns, increase of sanitary measures in hospital, quarantine of infected individuals and restriction of movement between geographical areas. Using optimal control theory, we determine an optimal control strategy which aims to reduce the number of infected individuals, according to some operative restrictions (e.g., economical, logistic, etc.). Furthermore, we study the existence and uniqueness of the optimal control. Finally, we illustrate the interest of the obtained results by considering numerical experiments based on real data. |
| first_indexed | 2024-12-19T19:11:16Z |
| format | Article |
| id | doaj.art-7773d600c4c74007984e230b792a68c8 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-19T19:11:16Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-7773d600c4c74007984e230b792a68c82022-12-21T20:09:17ZengAIMS PressMathematical Biosciences and Engineering1551-00182022-01-011921746177410.3934/mbe.2022082An optimal control model to design strategies for reducing the spread of the Ebola virus diseaseRama Seck0Diène Ngom1Benjamin Ivorra2Ángel M. Ramos31. Laboratory of Numerical Analysis and Computer Science, Applied Mathematics Section, Gaston Berger University, Saint-Louis, 209-IRD & UMMISCO-UGB, Senegal2. Mathematics and Applications Laboratory, Mathematics Department, Assane Seck University, Bp: 523, Ziguinchor, 209-IRD & UMMISCO-UGB, Senegal3. Interdisciplinary Mathematics Institute, Department of Applied Mathematics and Mathematical Analysis, Complutense University of Madrid, Plaza de Ciencias, 3, 28040 Madrid, Spain3. Interdisciplinary Mathematics Institute, Department of Applied Mathematics and Mathematical Analysis, Complutense University of Madrid, Plaza de Ciencias, 3, 28040 Madrid, SpainIn this work, we formulate an epidemiological model for studying the spread of Ebola virus disease in a considered territory. This model includes the effect of various control measures, such as: vaccination, education campaigns, early detection campaigns, increase of sanitary measures in hospital, quarantine of infected individuals and restriction of movement between geographical areas. Using optimal control theory, we determine an optimal control strategy which aims to reduce the number of infected individuals, according to some operative restrictions (e.g., economical, logistic, etc.). Furthermore, we study the existence and uniqueness of the optimal control. Finally, we illustrate the interest of the obtained results by considering numerical experiments based on real data.https://www.aimspress.com/article/doi/10.3934/mbe.2022082?viewType=HTMLepidemiological modelingoptimal controlebola virus diseasedeterministic models |
| spellingShingle | Rama Seck Diène Ngom Benjamin Ivorra Ángel M. Ramos An optimal control model to design strategies for reducing the spread of the Ebola virus disease Mathematical Biosciences and Engineering epidemiological modeling optimal control ebola virus disease deterministic models |
| title | An optimal control model to design strategies for reducing the spread of the Ebola virus disease |
| title_full | An optimal control model to design strategies for reducing the spread of the Ebola virus disease |
| title_fullStr | An optimal control model to design strategies for reducing the spread of the Ebola virus disease |
| title_full_unstemmed | An optimal control model to design strategies for reducing the spread of the Ebola virus disease |
| title_short | An optimal control model to design strategies for reducing the spread of the Ebola virus disease |
| title_sort | optimal control model to design strategies for reducing the spread of the ebola virus disease |
| topic | epidemiological modeling optimal control ebola virus disease deterministic models |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2022082?viewType=HTML |
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