Mathematical modeling and optimal control approaches for dengue
This research explores a continuous-time mathematical model that outlines the transmission dynamics of the dengue virus across different regions, in-volving both human and mosquito hosts. We propose an optimal strat-egy that includes awareness campaigns, safety measures, and health inter-ventions in...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ferdowsi University of Mashhad
2025-03-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_46033_d189d456be40e8f42448e6c20de0af73.pdf |
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| Summary: | This research explores a continuous-time mathematical model that outlines the transmission dynamics of the dengue virus across different regions, in-volving both human and mosquito hosts. We propose an optimal strat-egy that includes awareness campaigns, safety measures, and health inter-ventions in dengue-endemic areas, with the goal of reducing transmission between individuals and mosquitoes, thus lowering human infections and eliminating the virus in mosquito populations. Utilizing the discrete-time Pontryagin’s maximum principle, we identify optimal control measures and employ an iterative approach to solve the optimal system. Numerical sim-ulations are carried out using MATLAB, and a cost-effectiveness ratio is computed. Through an in-depth cost-effectiveness analysis, we highlight the effectiveness of strategies focused on protecting at-risk populations, pre-venting contact between infected humans and mosquitoes, and promoting the use of quarantine facilities as the most powerful methods for controlling the spread of the dengue virus. |
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| ISSN: | 2423-6977 2423-6969 |