Mathematical modeling and optimal control of multi-strain COVID-19 spread in discrete time
This research article presents a mathematical model that tracks and monitors the spread of COVID-19 strains in a discrete time frame. The study incorporates two control strategies to reduce the transmission of these strains: vaccination and providing appropriate treatment and medication for each str...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-04-01
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| Series: | Frontiers in Applied Mathematics and Statistics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fams.2024.1392628/full |
| _version_ | 1797208063416991744 |
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| author | Ahmed Elqaddaoui Amine El Bhih Amine El Bhih Hassan Laarabi Abdelhadi Abta Mostafa Rachik Mostafa Rachik |
| author_facet | Ahmed Elqaddaoui Amine El Bhih Amine El Bhih Hassan Laarabi Abdelhadi Abta Mostafa Rachik Mostafa Rachik |
| author_sort | Ahmed Elqaddaoui |
| collection | DOAJ |
| description | This research article presents a mathematical model that tracks and monitors the spread of COVID-19 strains in a discrete time frame. The study incorporates two control strategies to reduce the transmission of these strains: vaccination and providing appropriate treatment and medication for each strain separately. Optimal controls were established using Pontryagin's maximum principle in discrete time, and the optimality system was solved using an iterative method. To validate the effectiveness of the theoretical findings, numerical simulations were conducted to demonstrate the impact of the implemented strategies in limiting the spread of COVID-19 mutant strains. |
| first_indexed | 2024-04-24T09:32:51Z |
| format | Article |
| id | doaj.art-175bbf6b38734aba919f67b2b5a5aad4 |
| institution | Directory Open Access Journal |
| issn | 2297-4687 |
| language | English |
| last_indexed | 2024-04-24T09:32:51Z |
| publishDate | 2024-04-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Applied Mathematics and Statistics |
| spelling | doaj.art-175bbf6b38734aba919f67b2b5a5aad42024-04-15T13:27:09ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872024-04-011010.3389/fams.2024.13926281392628Mathematical modeling and optimal control of multi-strain COVID-19 spread in discrete timeAhmed Elqaddaoui0Amine El Bhih1Amine El Bhih2Hassan Laarabi3Abdelhadi Abta4Mostafa Rachik5Mostafa Rachik6Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University, Casablanca, MoroccoMultidisciplinary Research and Innovation Laboratory (LPRI), Moroccan School of Engineering Sciences, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University, Casablanca, MoroccoDepartment of Mathematics and Computer Science, Poly-disciplinary Faculty, Cadi Ayyad University, Safi, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University, Casablanca, MoroccoMultidisciplinary Research and Innovation Laboratory (LPRI), Moroccan School of Engineering Sciences, Casablanca, MoroccoThis research article presents a mathematical model that tracks and monitors the spread of COVID-19 strains in a discrete time frame. The study incorporates two control strategies to reduce the transmission of these strains: vaccination and providing appropriate treatment and medication for each strain separately. Optimal controls were established using Pontryagin's maximum principle in discrete time, and the optimality system was solved using an iterative method. To validate the effectiveness of the theoretical findings, numerical simulations were conducted to demonstrate the impact of the implemented strategies in limiting the spread of COVID-19 mutant strains.https://www.frontiersin.org/articles/10.3389/fams.2024.1392628/fullmathematical modelingoptimal control theoryCOVID-19Pontryagin's maximum principlediscrete time system control |
| spellingShingle | Ahmed Elqaddaoui Amine El Bhih Amine El Bhih Hassan Laarabi Abdelhadi Abta Mostafa Rachik Mostafa Rachik Mathematical modeling and optimal control of multi-strain COVID-19 spread in discrete time Frontiers in Applied Mathematics and Statistics mathematical modeling optimal control theory COVID-19 Pontryagin's maximum principle discrete time system control |
| title | Mathematical modeling and optimal control of multi-strain COVID-19 spread in discrete time |
| title_full | Mathematical modeling and optimal control of multi-strain COVID-19 spread in discrete time |
| title_fullStr | Mathematical modeling and optimal control of multi-strain COVID-19 spread in discrete time |
| title_full_unstemmed | Mathematical modeling and optimal control of multi-strain COVID-19 spread in discrete time |
| title_short | Mathematical modeling and optimal control of multi-strain COVID-19 spread in discrete time |
| title_sort | mathematical modeling and optimal control of multi strain covid 19 spread in discrete time |
| topic | mathematical modeling optimal control theory COVID-19 Pontryagin's maximum principle discrete time system control |
| url | https://www.frontiersin.org/articles/10.3389/fams.2024.1392628/full |
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