A Modified Iterative Algorithm for Numerical Investigation of HIV Infection Dynamics

The human immunodeficiency virus (HIV) mainly attacks CD4+ T cells in the host. Chronic HIV infection gradually depletes the CD4+ T cell pool, compromising the host’s immunological reaction to invasive infections and ultimately leading to acquired immunodeficiency syndrome (AIDS). The goal of this s...

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Vydáno v:Algorithms Ročník 15; číslo 5; s. 175
Hlavní autoři: Ghosh, Indranil, Rashid, Muhammad Mahbubur, Mawa, Shukranul, Roy, Rupal, Ahsan, Md Manjurul, Uddin, Muhammad Ramiz, Gupta, Kishor Datta, Ghosh, Pallabi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.05.2022
Témata:
Acquired immune deficiency syndrome
AIDS
Algorithms
Banach spaces
COVID-19
Decomposition
Dengue fever
Differential equations
Dynamic characteristics
Exact solutions
HIV
HIV infection model
Human immunodeficiency virus
Immune system
Immunology
Infections
Infectious diseases
Iterative algorithms
Iterative methods
Laplace transform
Lymphocytes
Mathematical models
Methods
modified iterative algorithm
new iterative method
Nonlinear dynamics
Nonlinear systems
ordinary differential equation
Quantum field theory
Runge-Kutta method
Variables
ISSN:1999-4893, 1999-4893
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Shrnutí:The human immunodeficiency virus (HIV) mainly attacks CD4+ T cells in the host. Chronic HIV infection gradually depletes the CD4+ T cell pool, compromising the host’s immunological reaction to invasive infections and ultimately leading to acquired immunodeficiency syndrome (AIDS). The goal of this study is not to provide a qualitative description of the rich dynamic characteristics of the HIV infection model of CD4+ T cells, but to produce accurate analytical solutions to the model using the modified iterative approach. In this research, a new efficient method using the new iterative method (NIM), the coupling of the standard NIM and Laplace transform, called the modified new iterative method (MNIM), has been introduced to resolve the HIV infection model as a class of system of ordinary differential equations (ODEs). A nonlinear HIV infection dynamics model is adopted as an instance to elucidate the identification process and the solution process of MNIM, only two iterations lead to ideal results. In addition, the model has also been solved using NIM and the fourth order Runge–Kutta (RK4) method. The results indicate that the solutions by MNIM match with those of RK4 method to a minimum of eight decimal places, whereas NIM solutions are not accurate enough. Numerical comparisons between the MNIM, NIM, the classical RK4 and other methods reveal that the modified technique has potential as a tool for the nonlinear systems of ODEs.
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ISSN:1999-4893
1999-4893
DOI:10.3390/a15050175