Effectiveness of bed nets and media awareness in dengue control: A fuzzy analysis
The incorporation of fuzzy analysis in the mathematical modeling of disease outbreaks has brought a paradigm shift in epidemiological research, offering a sophisticated approach to understanding and addressing the complexities inherent in disease dynamics. Unlike traditional mathematical models, whi...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-09-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720725000797 |
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| author | Shobha Islam Md. Shahidul Islam Md. Kamrujjaman |
| author_facet | Shobha Islam Md. Shahidul Islam Md. Kamrujjaman |
| author_sort | Shobha Islam |
| collection | DOAJ |
| description | The incorporation of fuzzy analysis in the mathematical modeling of disease outbreaks has brought a paradigm shift in epidemiological research, offering a sophisticated approach to understanding and addressing the complexities inherent in disease dynamics. Unlike traditional mathematical models, which often rely on deterministic assumptions and precise parameter values, fuzzy analysis provides a flexible framework capable of accommodating uncertainty and imprecision within epidemiological systems. This paper presents a novel SVEIR-SEI compartmental model for dengue disease where five key parameters such as transmission rate, mortality rate, recovery rate, biting rate, and vaccination rate are treated as fuzzy numbers. Among these, transmission rate, mortality rate, and recovery rate are defined as a function of virus load whereas biting rate and vaccinations rate are defined as a function of number of bed net users and media awareness regarding vaccination, respectively. Crisp reproduction number is determined using next generation matrix method and hence fuzzy reproduction number is derived as a triangular fuzzy number (TFN). Numerical results show that biting rate and vaccination rate are the two most sensitive parameters to crisp reproduction number. We also examine the impact of using bed nets and media awareness regarding vaccination on the model system under fuzzy environment. It is found that using bed nets is a more effective strategy for dengue control than media coverage regarding vaccination. |
| format | Article |
| id | doaj-art-0f1c687dc1d8425fb4ef8bc5c135fb3d |
| institution | Kabale University |
| issn | 2666-7207 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj-art-0f1c687dc1d8425fb4ef8bc5c135fb3d2025-08-20T03:29:32ZengElsevierResults in Control and Optimization2666-72072025-09-012010059310.1016/j.rico.2025.100593Effectiveness of bed nets and media awareness in dengue control: A fuzzy analysisShobha Islam0Md. Shahidul Islam1Md. Kamrujjaman2Department of Mathematics, University of Dhaka, Dhaka 1000, BangladeshDepartment of Mathematics, University of Dhaka, Dhaka 1000, BangladeshCorresponding author.; Department of Mathematics, University of Dhaka, Dhaka 1000, BangladeshThe incorporation of fuzzy analysis in the mathematical modeling of disease outbreaks has brought a paradigm shift in epidemiological research, offering a sophisticated approach to understanding and addressing the complexities inherent in disease dynamics. Unlike traditional mathematical models, which often rely on deterministic assumptions and precise parameter values, fuzzy analysis provides a flexible framework capable of accommodating uncertainty and imprecision within epidemiological systems. This paper presents a novel SVEIR-SEI compartmental model for dengue disease where five key parameters such as transmission rate, mortality rate, recovery rate, biting rate, and vaccination rate are treated as fuzzy numbers. Among these, transmission rate, mortality rate, and recovery rate are defined as a function of virus load whereas biting rate and vaccinations rate are defined as a function of number of bed net users and media awareness regarding vaccination, respectively. Crisp reproduction number is determined using next generation matrix method and hence fuzzy reproduction number is derived as a triangular fuzzy number (TFN). Numerical results show that biting rate and vaccination rate are the two most sensitive parameters to crisp reproduction number. We also examine the impact of using bed nets and media awareness regarding vaccination on the model system under fuzzy environment. It is found that using bed nets is a more effective strategy for dengue control than media coverage regarding vaccination.http://www.sciencedirect.com/science/article/pii/S2666720725000797DengueCrisp modelFuzzy modelVaccinationMembership functionsStability analysis |
| spellingShingle | Shobha Islam Md. Shahidul Islam Md. Kamrujjaman Effectiveness of bed nets and media awareness in dengue control: A fuzzy analysis Results in Control and Optimization Dengue Crisp model Fuzzy model Vaccination Membership functions Stability analysis |
| title | Effectiveness of bed nets and media awareness in dengue control: A fuzzy analysis |
| title_full | Effectiveness of bed nets and media awareness in dengue control: A fuzzy analysis |
| title_fullStr | Effectiveness of bed nets and media awareness in dengue control: A fuzzy analysis |
| title_full_unstemmed | Effectiveness of bed nets and media awareness in dengue control: A fuzzy analysis |
| title_short | Effectiveness of bed nets and media awareness in dengue control: A fuzzy analysis |
| title_sort | effectiveness of bed nets and media awareness in dengue control a fuzzy analysis |
| topic | Dengue Crisp model Fuzzy model Vaccination Membership functions Stability analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2666720725000797 |
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