Global stability and numerical simulation of a mathematical model of stem cells therapy of HIV-1 infection

被引：12
作者：
Alqudah, Manar A. [1 ]
Aljahdaly, Noufe H. [2 ]
机构：
[1] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, POB 84428, Riyadh 11671, Saudi Arabia
[2] King Abdulaziz Univ, Dept Math, Fac Sci & Arts, Rabigh Campus, Jeddah, Saudi Arabia
来源：
JOURNAL OF COMPUTATIONAL SCIENCE | 2020年 / 45卷
关键词：
HIV-1 population model; Stem cell; Global stability; Numerical solution; Mathematical modeling; DYNAMICS;
D O I：
10.1016/j.jocs.2020.101176
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
HIV-1 is a widespread type of the human immunodeficiency virus (HIV) which causes immune system failure. Recently, researchers found that stem cell (SC) therapy can reduce the risks associated with HIV and improve the patient's life. This article presents a mathematical model of SC therapy for the HIV-1 infection. Global stability at the endemic equilibrium point of the model is proven. Numerical solutions using the 4th order Runge Kutta (RK4) method are obtained in order to understand the mechanism of the mathematical model. As a result, the graphing of the numerical solution demonstrated that stem cells give hope to a cure of HIV-1 infection by increasing the number of CD4(+)T cells in the immune system of HIV-1 patient's blood. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数：5
相关论文
共 36 条
[1]   Analysis and computation of multi-pathways and multi-delays HIV-1 infection model [J].
Adak, Debadatta ;
Bairagi, Nandadulal .
APPLIED MATHEMATICAL MODELLING, 2018, 54 :517-536
[2]   Mathematical Modeling to Study Multistage Stem Cell Transplantation in HIV-1 Patients [J].
Al Qudah, Manar A. ;
Zarea, Sana'a A. ;
Kallel-Jallouli, Saoussan A. .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2019, 2019
[3]   Modelling the Course of an HIV Infection: Insights from Ecology and Evolution [J].
Alizon, Samuel ;
Magnus, Carsten .
VIRUSES-BASEL, 2012, 4 (10) :1984-2013
[4]  
Alqudah M., 2016, LIFE SCI J, V13
[5]  
Alqudah M.A., 2020, ALEXANDRIA ENG J
[6]  
[Anonymous], 1974, Differential equations, dy
[7]  
[Anonymous], 2003, Runge-kutta methods for the numerical solution of stochastic differential equations
[8]  
[Anonymous], 2001, Difference Equations: An Introduction with Applications
[9]   Breather and solitons waves in optical fibers via exponential time differencing method [J].
Ashi, Hala A. ;
Aljahdaly, Noufe H. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 85
[10]   Role of imaging in cardiac stem cell therapy [J].
Beeres, Saskia L. M. A. ;
Bengel, Frank M. ;
Bartunek, Jozef ;
Atsma, Douwe E. ;
Hill, Jonathan M. ;
Vanderheyden, Marc ;
Penicka, Martin ;
Schalij, Martin J. ;
Wijns, William ;
Bax, Jeroen J. .
JOURNAL OF THE AMERICAN COLLEGE OF CARDIOLOGY, 2007, 49 (11) :1137-1148
1234