Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco
In this paper, we focus on identifying the transmission rate associated with a COVID-19 mathematical model by using a predefined prevalence function. To do so, we use a Python code to extract the Lagrange interpolation polynomial from real daily data corresponding to an appropriate period in Morocco...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231194?viewType=HTML |
| _version_ | 1797745352511586304 |
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| author | Marouane Karim Abdelfatah Kouidere Mostafa Rachik Kamal Shah Thabet Abdeljawad |
| author_facet | Marouane Karim Abdelfatah Kouidere Mostafa Rachik Kamal Shah Thabet Abdeljawad |
| author_sort | Marouane Karim |
| collection | DOAJ |
| description | In this paper, we focus on identifying the transmission rate associated with a COVID-19 mathematical model by using a predefined prevalence function. To do so, we use a Python code to extract the Lagrange interpolation polynomial from real daily data corresponding to an appropriate period in Morocco. The existence of a perfect control scheme is demonstrated. The Pontryagin maximum technique is used to explain these optimal controls. The optimality system is numerically solved using the 4th-order Runge-Kutta approximation. |
| first_indexed | 2024-03-12T15:22:02Z |
| format | Article |
| id | doaj.art-9dc04a4e5d59440d98949f3e44872a39 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-12T15:22:02Z |
| publishDate | 2023-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-9dc04a4e5d59440d98949f3e44872a392023-08-11T01:40:12ZengAIMS PressAIMS Mathematics2473-69882023-07-01810235002351810.3934/math.20231194Inverse problem to elaborate and control the spread of COVID-19: A case study from MoroccoMarouane Karim0Abdelfatah Kouidere1Mostafa Rachik 2Kamal Shah 3Thabet Abdeljawad 41. LAMS, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca, Morocco1. LAMS, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca, Morocco1. LAMS, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca, Morocco2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia 3. Department of Mathematics, University of Malakand, Chakdara Dir (L), Khyber Pakhtunkhwa 18000, Pakistan2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan 5. Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea 6. Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South AfricaIn this paper, we focus on identifying the transmission rate associated with a COVID-19 mathematical model by using a predefined prevalence function. To do so, we use a Python code to extract the Lagrange interpolation polynomial from real daily data corresponding to an appropriate period in Morocco. The existence of a perfect control scheme is demonstrated. The Pontryagin maximum technique is used to explain these optimal controls. The optimality system is numerically solved using the 4th-order Runge-Kutta approximation.https://www.aimspress.com/article/doi/10.3934/math.20231194?viewType=HTMLcovid-19inverse problemlagrange interpolationoptimal controlnumerical method |
| spellingShingle | Marouane Karim Abdelfatah Kouidere Mostafa Rachik Kamal Shah Thabet Abdeljawad Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco AIMS Mathematics covid-19 inverse problem lagrange interpolation optimal control numerical method |
| title | Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco |
| title_full | Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco |
| title_fullStr | Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco |
| title_full_unstemmed | Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco |
| title_short | Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco |
| title_sort | inverse problem to elaborate and control the spread of covid 19 a case study from morocco |
| topic | covid-19 inverse problem lagrange interpolation optimal control numerical method |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231194?viewType=HTML |
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