A fractional order HIV/AIDS epidemic model with Mittag-Leffler kernel

被引：0
|
作者：
Muhammad Aslam
Rashid Murtaza
Thabet Abdeljawad
Ghaus ur Rahman
Aziz Khan
Hasib Khan
Haseena Gulzar
机构：
[1] Mohi-ud-din Islamic University,Department of Mathematics
[2] Prince Sultan University,Department of Mathematics and General Sciences
[3] China Medical University,Department of Medical Research
[4] Asia University,Department of Computer Science and Information Engineering
[5] University of Swat,Department of Mathematics and Statistics
[6] Shaheed Benazir Bhutto University,Department of Mathematics
[7] Shaheed Benazir Bhutto University,Department of Biotechnology
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional order HIV/AIDS model; Existence of solution; Hyers–Ulam stability; Numerical solution;
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摘要：
In this article, we study a fractional order HIV/AIDS infection model with ABC-fractional derivative. The model is based on four classes of a population. The study includes the existence and uniqueness of solution, the stability analysis, and simulations. We utilize the fixed point technique for the existence and uniqueness analysis. The stability of the fractional order model is derived with the help of existing literature for the Hyers–Ulam stability. For the numerical computations, the Lagrange interpolation is utilized, and the simulations are obtained for specific parameters. The results are closer to the classical results for different orders.
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