Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model
The rapid spread of infectious diseases poses a critical threat to global public health. Traditional frameworks, such as the Susceptible–Exposed–Infectious–Recovered (SEIR) model, have been crucial in elucidating disease dynamics. Nonetheless, these models frequently overlook the strategic interacti...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003292 |
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| author | Awad Talal Alabdala Yasmin Adel Waleed Adel |
| author_facet | Awad Talal Alabdala Yasmin Adel Waleed Adel |
| author_sort | Awad Talal Alabdala |
| collection | DOAJ |
| description | The rapid spread of infectious diseases poses a critical threat to global public health. Traditional frameworks, such as the Susceptible–Exposed–Infectious–Recovered (SEIR) model, have been crucial in elucidating disease dynamics. Nonetheless, these models frequently overlook the strategic interactions between public health authorities and individuals. This research extends the classic SEIR model by incorporating differential game theory to analyze optimal control strategies. By modeling the conflicting objectives of public health authorities aiming to minimize infection rates and intervention costs, and individuals seeking to reduce their infection risk and inconvenience, we derive a Nash equilibrium that provides a balanced approach to disease management. Using Picard’s iterative method, we solve the extended model to determine dynamic, optimal control strategies, revealing oscillatory behavior in public health interventions and individual preventive measures. This comprehensive approach offers valuable insights into the dynamic interactions essential for effective infectious disease control. |
| format | Article |
| id | doaj-art-085c0ffa3101402c92c4b50a938fe5f0 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-085c0ffa3101402c92c4b50a938fe5f02024-12-13T11:05:40ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-0112100943Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR modelAwad Talal Alabdala0Yasmin Adel1Waleed Adel2Laboratoire Interdisciplinaire de l’Université Francaise d’Egypte (UFEID Lab), Université Francaise d’Egypte, Cairo 11837, EgyptLaboratoire Interdisciplinaire de l’Université Francaise d’Egypte (UFEID Lab), Université Francaise d’Egypte, Cairo 11837, EgyptLaboratoire Interdisciplinaire de l’Université Francaise d’Egypte (UFEID Lab), Université Francaise d’Egypte, Cairo 11837, Egypt; Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt; Corresponding author at: Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt.The rapid spread of infectious diseases poses a critical threat to global public health. Traditional frameworks, such as the Susceptible–Exposed–Infectious–Recovered (SEIR) model, have been crucial in elucidating disease dynamics. Nonetheless, these models frequently overlook the strategic interactions between public health authorities and individuals. This research extends the classic SEIR model by incorporating differential game theory to analyze optimal control strategies. By modeling the conflicting objectives of public health authorities aiming to minimize infection rates and intervention costs, and individuals seeking to reduce their infection risk and inconvenience, we derive a Nash equilibrium that provides a balanced approach to disease management. Using Picard’s iterative method, we solve the extended model to determine dynamic, optimal control strategies, revealing oscillatory behavior in public health interventions and individual preventive measures. This comprehensive approach offers valuable insights into the dynamic interactions essential for effective infectious disease control.http://www.sciencedirect.com/science/article/pii/S2666818124003292SEIR modelDifferential game theoryOptimal control strategiesPublic health interventionsNash equilibrium |
| spellingShingle | Awad Talal Alabdala Yasmin Adel Waleed Adel Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model Partial Differential Equations in Applied Mathematics SEIR model Differential game theory Optimal control strategies Public health interventions Nash equilibrium |
| title | Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model |
| title_full | Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model |
| title_fullStr | Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model |
| title_full_unstemmed | Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model |
| title_short | Optimal control strategies for infectious disease management: Integrating differential game theory with the SEIR model |
| title_sort | optimal control strategies for infectious disease management integrating differential game theory with the seir model |
| topic | SEIR model Differential game theory Optimal control strategies Public health interventions Nash equilibrium |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003292 |
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