Fractional numerical simulation of mathematical model of HIV-1 infection with stem cell therapy

被引：13

作者：

Aljahdaly, Noufe H. ^{[1
]}

Alharbey, R. A. ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci & Arts, Math Dept, Rabigh Campus, Jeddah, Saudi Arabia

[2] King AbdulAziz Univ, Fac Sci, Math Dept, Al Sulymania Womens Campus, Jeddah 21589, Saudi Arabia

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 07期

关键词：

HIV infection; stem cell therapy; fractional numerical solution; ANTIRETROVIRAL THERAPY; DYNAMICS;

D O I：

10.3934/math.2021394

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper introduces fractional-order into a mathematical model of HIV infection of CD4(+) T-cells combining with the rate of multiply uninfected CD4(+) T-cells through mitosis and stem cell therapy. The paper shows the theoretical studies including positivity and stability of the solution. In addition, the numerical solutions are obtained and illustrated. The results show that the stem cell's therapy increases the quality of a HIV patient's life only for short time. This results are consistent with medical case studies.

引用

页码：6715 / 6725

页数：11

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