A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors
We propose an optimal control strategy by conducting awareness campaigns for diabetics about the severity of complications of diabetes and the negative impact of an unbalanced lifestyle and the surrounding environment, as well as treatment and psychological follow-up. Pontryagin’s maximum principle...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/1943410 |
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| _version_ | 1832568592206397440 |
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| author | Abdelfatah Kouidere Abderrahim Labzai Hanane Ferjouchia Omar Balatif Mostafa Rachik |
| author_facet | Abdelfatah Kouidere Abderrahim Labzai Hanane Ferjouchia Omar Balatif Mostafa Rachik |
| author_sort | Abdelfatah Kouidere |
| collection | DOAJ |
| description | We propose an optimal control strategy by conducting awareness campaigns for diabetics about the severity of complications of diabetes and the negative impact of an unbalanced lifestyle and the surrounding environment, as well as treatment and psychological follow-up. Pontryagin’s maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB. |
| format | Article |
| id | doaj-art-adb895ce2e714c2e9ab782e004366aff |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-adb895ce2e714c2e9ab782e004366aff2025-02-03T00:58:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/19434101943410A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral FactorsAbdelfatah Kouidere0Abderrahim Labzai1Hanane Ferjouchia2Omar Balatif3Mostafa Rachik4Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University, Sidi Othman, Casablanca, MoroccoLaboratory of Dynamical Systems, Mathematical Engineering Team (INMA), Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University, Sidi Othman, Casablanca, MoroccoWe propose an optimal control strategy by conducting awareness campaigns for diabetics about the severity of complications of diabetes and the negative impact of an unbalanced lifestyle and the surrounding environment, as well as treatment and psychological follow-up. Pontryagin’s maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB.http://dx.doi.org/10.1155/2020/1943410 |
| spellingShingle | Abdelfatah Kouidere Abderrahim Labzai Hanane Ferjouchia Omar Balatif Mostafa Rachik A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors Journal of Applied Mathematics |
| title | A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors |
| title_full | A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors |
| title_fullStr | A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors |
| title_full_unstemmed | A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors |
| title_short | A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors |
| title_sort | new mathematical modeling with optimal control strategy for the dynamics of population of diabetics and its complications with effect of behavioral factors |
| url | http://dx.doi.org/10.1155/2020/1943410 |
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