Mathematical modeling and strategy for optimal control of diphtheria
This research introduces a novel approach to combating diphtheria by presenting a comprehensive optimal control strategy focused on awareness campaigns to avoid direct contact with infected individuals and promote vaccinations. These campaigns highlight the severe complications of diphtheria, such a...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720724001115 |
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| _version_ | 1850251577007276032 |
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| author | Hicham Gourram Mohamed Baroudi Issam Sahib Abderrahim Labzai Khalid Herradi Mohamed Belam |
| author_facet | Hicham Gourram Mohamed Baroudi Issam Sahib Abderrahim Labzai Khalid Herradi Mohamed Belam |
| author_sort | Hicham Gourram |
| collection | DOAJ |
| description | This research introduces a novel approach to combating diphtheria by presenting a comprehensive optimal control strategy focused on awareness campaigns to avoid direct contact with infected individuals and promote vaccinations. These campaigns highlight the severe complications of diphtheria, such as acute respiratory issues, myocarditis, and neurological paralysis. Additionally, the campaigns emphasize the negative impacts of an unbalanced lifestyle and environmental factors, as well as the importance of timely treatment and psychological support. The model aims to improve control strategies by reducing the number of infected individuals I(t) and exposed individuals E(t), as well as asymptomatic carriers A(t), which we have integrated into the model as an aspect that has been relatively unexplored in diphtheria transmission. The optimal controls are meticulously determined using Pontryagin’s maximum principle. The resulting optimality system is solved iteratively, ensuring precision and clarity in the results. Extensive numerical simulations rigorously support and confirm the theoretical analysis using MATLAB, providing concrete evidence of the strategy’s effectiveness. The broader implications and potential applications of this optimal control strategy extend to other infectious diseases, enhancing its relevance and utility in public health. |
| format | Article |
| id | doaj-art-4ee846e6d63d4be6aa30006715970b2c |
| institution | OA Journals |
| issn | 2666-7207 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj-art-4ee846e6d63d4be6aa30006715970b2c2025-08-20T01:57:52ZengElsevierResults in Control and Optimization2666-72072024-12-011710048110.1016/j.rico.2024.100481Mathematical modeling and strategy for optimal control of diphtheriaHicham Gourram0Mohamed Baroudi1Issam Sahib2Abderrahim Labzai3Khalid Herradi4Mohamed Belam5Laboratory LMACS, Sultan Moulay Slimane University, MATIC Research Team: Applied Mathematics and Information and Communication Technologie, Department of Mathematics and Computer Science, Khouribga Polydisciplinary Faculty, Morocco; Corresponding author.Laboratory LMACS, Sultan Moulay Slimane University, MATIC Research Team: Applied Mathematics and Information and Communication Technologie, Department of Mathematics and Computer Science, Khouribga Polydisciplinary Faculty, MoroccoLaboratory LMACS, Sultan Moulay Slimane University, MATIC Research Team: Applied Mathematics and Information and Communication Technologie, Department of Mathematics and Computer Science, Khouribga Polydisciplinary Faculty, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, MoroccoResearch Laboratory on New Economy and Development, Faculty of Legal, Economic, and Social Sciences Ain Sbaâ, Hassan II University of Casablanca, MoroccoLaboratory LMACS, Sultan Moulay Slimane University, MATIC Research Team: Applied Mathematics and Information and Communication Technologie, Department of Mathematics and Computer Science, Khouribga Polydisciplinary Faculty, MoroccoThis research introduces a novel approach to combating diphtheria by presenting a comprehensive optimal control strategy focused on awareness campaigns to avoid direct contact with infected individuals and promote vaccinations. These campaigns highlight the severe complications of diphtheria, such as acute respiratory issues, myocarditis, and neurological paralysis. Additionally, the campaigns emphasize the negative impacts of an unbalanced lifestyle and environmental factors, as well as the importance of timely treatment and psychological support. The model aims to improve control strategies by reducing the number of infected individuals I(t) and exposed individuals E(t), as well as asymptomatic carriers A(t), which we have integrated into the model as an aspect that has been relatively unexplored in diphtheria transmission. The optimal controls are meticulously determined using Pontryagin’s maximum principle. The resulting optimality system is solved iteratively, ensuring precision and clarity in the results. Extensive numerical simulations rigorously support and confirm the theoretical analysis using MATLAB, providing concrete evidence of the strategy’s effectiveness. The broader implications and potential applications of this optimal control strategy extend to other infectious diseases, enhancing its relevance and utility in public health.http://www.sciencedirect.com/science/article/pii/S2666720724001115Optimal controlDiphtheriaSpread of infectious diseases |
| spellingShingle | Hicham Gourram Mohamed Baroudi Issam Sahib Abderrahim Labzai Khalid Herradi Mohamed Belam Mathematical modeling and strategy for optimal control of diphtheria Results in Control and Optimization Optimal control Diphtheria Spread of infectious diseases |
| title | Mathematical modeling and strategy for optimal control of diphtheria |
| title_full | Mathematical modeling and strategy for optimal control of diphtheria |
| title_fullStr | Mathematical modeling and strategy for optimal control of diphtheria |
| title_full_unstemmed | Mathematical modeling and strategy for optimal control of diphtheria |
| title_short | Mathematical modeling and strategy for optimal control of diphtheria |
| title_sort | mathematical modeling and strategy for optimal control of diphtheria |
| topic | Optimal control Diphtheria Spread of infectious diseases |
| url | http://www.sciencedirect.com/science/article/pii/S2666720724001115 |
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