Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures
Vector-borne infections pose serious public health challenges due to the complex interplay of biological, environmental, and social factors. Therefore, comprehensive approaches are essential to mitigate the burden of vector-borne infections and minimize their impact on public health. In this researc...
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Multidisciplinary Digital Publishing Institute (MDPI)
2025
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| author | Jan R. Boulaaras S. Alharbi A. Abdul Razak N.N. |
| author2 | 57205596279 |
| author_facet | 57205596279 Jan R. Boulaaras S. Alharbi A. Abdul Razak N.N. |
| author_sort | Jan R. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Vector-borne infections pose serious public health challenges due to the complex interplay of biological, environmental, and social factors. Therefore, comprehensive approaches are essential to mitigate the burden of vector-borne infections and minimize their impact on public health. In this research, an epidemic model for the vector-borne disease malaria is structured with a saturated incidence rate via fractional calculus and preventive measures. The essential results and concepts are introduced to examine the proposed model. The solution of the system is examined for some necessary results, and the threshold parameter of the model, indicated by� (Formula presented.), is calculated. In this paper, the proposed malaria model is analyzed both quantitatively and qualitatively. The fixed-point theorems of Banach and Schaefer are utilized to examine the uniqueness and existence of the solution dynamics. Furthermore, the necessary conditions for the stability of the model have been determined. A numerical approach is offered to visualize the solution pathways of the system and identify its key factors. Through the results, the most influential factors for the control and management of the disease are highlighted. ? 2024 by the authors. |
| format | Article |
| id | my.uniten.dspace-36134 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Multidisciplinary Digital Publishing Institute (MDPI) |
| record_format | dspace |
| spelling | my.uniten.dspace-361342025-03-03T15:41:26Z Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures Jan R. Boulaaras S. Alharbi A. Abdul Razak N.N. 57205596279 36994353700 57216649946 37059587300 Vector-borne infections pose serious public health challenges due to the complex interplay of biological, environmental, and social factors. Therefore, comprehensive approaches are essential to mitigate the burden of vector-borne infections and minimize their impact on public health. In this research, an epidemic model for the vector-borne disease malaria is structured with a saturated incidence rate via fractional calculus and preventive measures. The essential results and concepts are introduced to examine the proposed model. The solution of the system is examined for some necessary results, and the threshold parameter of the model, indicated by� (Formula presented.), is calculated. In this paper, the proposed malaria model is analyzed both quantitatively and qualitatively. The fixed-point theorems of Banach and Schaefer are utilized to examine the uniqueness and existence of the solution dynamics. Furthermore, the necessary conditions for the stability of the model have been determined. A numerical approach is offered to visualize the solution pathways of the system and identify its key factors. Through the results, the most influential factors for the control and management of the disease are highlighted. ? 2024 by the authors. Final 2025-03-03T07:41:26Z 2025-03-03T07:41:26Z 2024 Article 10.3390/fractalfract8120691 2-s2.0-85213412780 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85213412780&doi=10.3390%2ffractalfract8120691&partnerID=40&md5=7db4fdea3164b02bcab1e5e4814843cf https://irepository.uniten.edu.my/handle/123456789/36134 8 12 691 Multidisciplinary Digital Publishing Institute (MDPI) Scopus |
| spellingShingle | Jan R. Boulaaras S. Alharbi A. Abdul Razak N.N. Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures |
| title | Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures |
| title_full | Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures |
| title_fullStr | Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures |
| title_full_unstemmed | Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures |
| title_short | Fractional-Calculus Analysis of the Dynamics of a Vector-Borne Infection with Preventive Measures |
| title_sort | fractional-calculus analysis of the dynamics of a vector-borne infection with preventive measures |
| url_provider | http://dspace.uniten.edu.my/ |