Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in Ghana
Research focus on optimal control problems brought on by fractional differential equations has been extensively applied in practice. However, because they are still open ended and challenging, a number of problems with fractional mathematical modeling and problems with optimal control require additi...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/3308529 |
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| _version_ | 1850104394073243648 |
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| author | Samuel Okyere Joseph Ackora-Prah Kwaku Forkuoh Darkwah Francis Tabi Oduro Ebenezer Bonyah |
| author_facet | Samuel Okyere Joseph Ackora-Prah Kwaku Forkuoh Darkwah Francis Tabi Oduro Ebenezer Bonyah |
| author_sort | Samuel Okyere |
| collection | DOAJ |
| description | Research focus on optimal control problems brought on by fractional differential equations has been extensively applied in practice. However, because they are still open ended and challenging, a number of problems with fractional mathematical modeling and problems with optimal control require additional study. Using fractional-order derivatives defined in the Atangana–Baleanu–Caputo sense, we alter the integer-order model that has been proposed in the literature. We prove the solution’s existence, uniqueness, equilibrium points, fundamental reproduction number, and local stability of the equilibrium points. The operator’s numerical approach was put into practice to obtain a numerical simulation to back up the analytical conclusions. Fractional optimum controls were incorporated into the model to identify the most efficient intervention strategies for controlling the disease. Utilizing actual data from Ghana for the months of March 2020 to March 2021, the model is validated. The simulation’s results show that the fractional operator significantly affected each compartment and that the incidence rate of the population rose when v≥0.6. The examination of the most effective control technique discovered that social exclusion and vaccination were both very effective methods for halting the development of the illness. |
| format | Article |
| id | doaj-art-476a560d34924fc694bc67db8d522042 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-476a560d34924fc694bc67db8d5220422025-08-20T02:39:21ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/3308529Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in GhanaSamuel Okyere0Joseph Ackora-Prah1Kwaku Forkuoh Darkwah2Francis Tabi Oduro3Ebenezer Bonyah4Department of MathematicsDepartment of MathematicsDepartment of MathematicsAfrican Institute of Mathematical SciencesDepartment of Mathematics EducationResearch focus on optimal control problems brought on by fractional differential equations has been extensively applied in practice. However, because they are still open ended and challenging, a number of problems with fractional mathematical modeling and problems with optimal control require additional study. Using fractional-order derivatives defined in the Atangana–Baleanu–Caputo sense, we alter the integer-order model that has been proposed in the literature. We prove the solution’s existence, uniqueness, equilibrium points, fundamental reproduction number, and local stability of the equilibrium points. The operator’s numerical approach was put into practice to obtain a numerical simulation to back up the analytical conclusions. Fractional optimum controls were incorporated into the model to identify the most efficient intervention strategies for controlling the disease. Utilizing actual data from Ghana for the months of March 2020 to March 2021, the model is validated. The simulation’s results show that the fractional operator significantly affected each compartment and that the incidence rate of the population rose when v≥0.6. The examination of the most effective control technique discovered that social exclusion and vaccination were both very effective methods for halting the development of the illness.http://dx.doi.org/10.1155/2023/3308529 |
| spellingShingle | Samuel Okyere Joseph Ackora-Prah Kwaku Forkuoh Darkwah Francis Tabi Oduro Ebenezer Bonyah Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in Ghana Journal of Mathematics |
| title | Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in Ghana |
| title_full | Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in Ghana |
| title_fullStr | Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in Ghana |
| title_full_unstemmed | Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in Ghana |
| title_short | Fractional Optimal Control Model of SARS-CoV-2 (COVID-19) Disease in Ghana |
| title_sort | fractional optimal control model of sars cov 2 covid 19 disease in ghana |
| url | http://dx.doi.org/10.1155/2023/3308529 |
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