EconPapers    
Economics at your fingertips  
 

A Fractional Order Model for HIV/AIDS With Treatment and Optimal Control Using Caputo Derivative

Abdul-Aziz Hussein and Benyam Mebrate

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-23

Abstract: In this paper, we are concerned with a deterministic Caputo fractional derivative mathematical model of HIV/AIDS with treatment and optimal control. We formulate a mathematical model that contains six compartments (including primary infection and treatment) and show that the model is well-posed. We calculate the reproduction number and free and endemic equilibrium points. We prove the stability of free and endemic equilibrium points. The local stability is carried out by the linearization method, whereas the global stability is performed by Mittag–Leffler stability. We consider four control mechanisms and show their impact on the prevalence of HIV infection. Numerical solutions are performed using the optimal case of the two-stage explicit fractional order Runge–Kutta methods.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ijmms/2025/9342227.pdf (application/pdf)
http://downloads.hindawi.com/journals/ijmms/2025/9342227.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9342227

DOI: 10.1155/ijmm/9342227

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().

 
Page updated 2025-05-05
Handle: RePEc:hin:jijmms:9342227