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

Advances in Difference Equations

Haseena Gulzar¹  Aziz Khan²  Thabet Abdeljawad³  Ghaus ur Rahman⁴  Muhammad Aslam⁵  Rashid Murtaza⁵  Hasib Khan⁶ 

[1] Department of Biotechnology, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, Khyber Pakhtunkhwa, Pakistan;Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia;Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia;Department of Medical Research, China Medical University, Taichung, Taiwan;Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan;Department of Mathematics and Statistics, University of Swat, Swat, Khyber Pakhtunkhwa, Pakistan;Department of Mathematics, Mohi-ud-din Islamic University, Islamabad, Pakistan;Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, Khyber Pakhtunkhwa, Pakistan;

关键词: Fractional order HIV/AIDS model;    Existence of solution;    Hyers–Ulam stability;    Numerical solution;   

DOI  :  10.1186/s13662-021-03264-5

来源: Springer

【 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.

【 授权许可】

CC BY