Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

Numerical Solution of the Human Immunodeficiency Virus Model by Discretization and Minimization Method

Authors
Mohammad Javad Azimi 1
Somayeh Zangoei Zadeh 2
Azim Rivaz 1
1 Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
2 Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman
10.22055/jamm.2025.49161.2353
Abstract
Human Immunodeficiency Virus (HIV) is one of the most challenging global health issues, affecting the body's immune system, destroying most white blood cells, and weakening the infected individual's immune system against infections. In this paper, first, a mathematical model of HIV is introduced, and then the problem is solved using discretiztion and minimization method. In other words, by solving the presented model, the number of healthy cells, infected cells, and free viruses in the blood after the virus enters the body is determined. Finally, the approximate solutions obtained from this method are compared with the Laguerre wavelet method, which demonstrates the accuracy and efficiency of the proposed method.
Keywords
Human Immunodeficiency Virus
Discretization method
Minimization method
White blood cells
Subjects
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  • Receive Date 03 March 2025
  • Revise Date 31 October 2025
  • Accept Date 29 December 2025