Theoretical study of diffusive model of HIV-1 infection and its analytical solution

T his article studied a mathematical model for the diffusive human immunodeficiency virus-type 1 (HIV-1) infection combining with stem cell therapy. The HIV-1 infection is a chronic disease and the viral replication continues if the patient stopes use the antiretroviral therapy (cART). Therefore, it...

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Bibliographic Details
Published in:PloS one 2023-11, Vol.18 (11), p.e0283659-e0283659
Main Authors: Aljahdaly, Noufe H, Alharbey, R. A, Aljohani, Ahlam S
Format: Article
Language:English
Subjects:
Acquired immune deficiency syndrome
AIDS
Antiretroviral agents
Antiretroviral therapy
B cells
Biology and Life Sciences
Boundary conditions
Care and treatment
Case studies
Cell therapy
Chronic diseases
Chronic infection
Clinical trials
Disease
Disease control
Epidemics
Equilibrium
Exact solutions
Health aspects
Highly active antiretroviral therapy
HIV
HIV (Viruses)
Human immunodeficiency virus
Immune system
Infections
Lymphocytes
Mathematical models
Medicine and Health Sciences
Microorganisms
Ordinary differential equations
Partial differential equations
Physical Sciences
Research and Analysis Methods
Stem cells
Theoretical analysis
Therapy
Transplantation
Viruses
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Summary:T his article studied a mathematical model for the diffusive human immunodeficiency virus-type 1 (HIV-1) infection combining with stem cell therapy. The HIV-1 infection is a chronic disease and the viral replication continues if the patient stopes use the antiretroviral therapy (cART). Therefore, it is important to seek the cure of HIV-1 infection and some medical trials showed the cure by stem cell therapy and there are others failure to achieve the cure of HIV-1 with same treatments. The novelty of this paper is constructing a mathematical model with adding diffusion terms to study the effect of spread of virus and other cells in the body. Theoretical analysis such as boundedness, positivity, stability (local/global) of the HIV-1 model is presented. The model is solved analytically by the tanh expansion method. The results show that the tanh expansion method is a very useful technique, that can give a good prediction of the effect of stem cell therapy on infected cells on the spread of the virus. The results further demonstrated that the best way to control the disease is by limiting the spread of the virus; more so than the spread of other components.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0283659