"Analysis and Modelling of HIV/AIDS Model with Fractional Order Paramet" by Muhammad Farman, Ali Raza et al.

Progress in Fractional Differentiation & Applications

Article Title

Analysis and Modelling of HIV/AIDS Model with Fractional Order Parameter Estimation

Authors

Muhammad Farman, Department of Mathematics and statistics, University of Lahore, Lahore-54590, PakistanFollow
Ali Raza, Department of Mathematics and statistics, University of Lahore, Lahore-54590, PakistanFollow
Ali Akgul, Art and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, TurkeyFollow
Muhammad Umer Saleem, Department of Mathematics, Division of Science and Technology, University of Education, Lahore, PakistanFollow
Aqeel Ahmad, Department of Mathematics and statistics, University of Lahore, Lahore-54590, PakistanFollow
Muhammad Sajid Iqbal, Department of Mathematics and statistics, University of Lahore, Lahore-54590, PakistanFollow

Author Country (or Countries)

Pakistan

Abstract

In this paper, nonlinear fractional order HIV/AIDS mathematical model is discussed epidemic problems for the complex transmission of the disease. It is accepted that susceptible wind up contaminated by means of sexual contacts with infective eventually create AIDS. The point of this task was to amend transmission models recently created to represent HIV transmission and AIDS related mortality. The Caputo-Fabrizio fractional derivative operator of order β ∈ (0,1) is used to obtain fractional differential equations structure. The stability fractional order model was developed and the unique non-negative solution was tested. The numerical simulations are performed using an iterative technique. Some new results are being viewed with the help of Sumudo transform. Nonetheless, according to Banach, the related findings are given nonlinear functional analysis and fixed point theory. However, mathematical simulations are also acknowledged to evaluate the impact of the model’s parameter by decreasing the fractional values and showing the effect of the β fractional parameter on our obtained solutions. The impact of various parameters is represented graphically.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080202

Recommended Citation

Farman, Muhammad; Raza, Ali; Akgul, Ali; Umer Saleem, Muhammad; Ahmad, Aqeel; and Sajid Iqbal, Muhammad (2022) "Analysis and Modelling of HIV/AIDS Model with Fractional Order Parameter Estimation," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 2, Article 2.
DOI: http://dx.doi.org/10.18576/pfda/080202
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss2/2

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