Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics
The mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a conformable fractional derivative in the Liouville–Caputo sense. Some fixed point theorems are applied to this model to investigate the existence an...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2024/1958622 |
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| _version_ | 1832553076322467840 |
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| author | Esam Y. Salah Bhausaheb Sontakke Mohammed S. Abdo Wasfi Shatanawi Kamaleldin Abodayeh M. Daher Albalwi |
| author_facet | Esam Y. Salah Bhausaheb Sontakke Mohammed S. Abdo Wasfi Shatanawi Kamaleldin Abodayeh M. Daher Albalwi |
| author_sort | Esam Y. Salah |
| collection | DOAJ |
| description | The mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a conformable fractional derivative in the Liouville–Caputo sense. Some fixed point theorems are applied to this model to investigate the existence and uniqueness of the solutions. It is determined what the system’s fundamental reproduction number R0 is. The disease-free equilibrium displays the model’s stability and the local stability around the equilibrium. The study also examined the effects of different biological features on the system through numerical simulations using the Adams–Moulton approach. Additionally, varied values of fractional orders are simulated numerically, demonstrating that the results generated by the conformable fractional derivative-based model are more physiologically plausible than integer-order derivatives. |
| format | Article |
| id | doaj-art-a05f5db009014f2bbad87fde536f7ee7 |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-a05f5db009014f2bbad87fde536f7ee72025-02-03T05:56:55ZengWileyInternational Journal of Differential Equations1687-96512024-01-01202410.1155/2024/1958622Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission DynamicsEsam Y. Salah0Bhausaheb Sontakke1Mohammed S. Abdo2Wasfi Shatanawi3Kamaleldin Abodayeh4M. Daher Albalwi5Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and SciencesDepartment of Mathematics and SciencesYanbu Industrial CollegeThe mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a conformable fractional derivative in the Liouville–Caputo sense. Some fixed point theorems are applied to this model to investigate the existence and uniqueness of the solutions. It is determined what the system’s fundamental reproduction number R0 is. The disease-free equilibrium displays the model’s stability and the local stability around the equilibrium. The study also examined the effects of different biological features on the system through numerical simulations using the Adams–Moulton approach. Additionally, varied values of fractional orders are simulated numerically, demonstrating that the results generated by the conformable fractional derivative-based model are more physiologically plausible than integer-order derivatives.http://dx.doi.org/10.1155/2024/1958622 |
| spellingShingle | Esam Y. Salah Bhausaheb Sontakke Mohammed S. Abdo Wasfi Shatanawi Kamaleldin Abodayeh M. Daher Albalwi Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics International Journal of Differential Equations |
| title | Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics |
| title_full | Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics |
| title_fullStr | Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics |
| title_full_unstemmed | Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics |
| title_short | Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics |
| title_sort | conformable fractional order modeling and analysis of hiv aids transmission dynamics |
| url | http://dx.doi.org/10.1155/2024/1958622 |
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