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
收藏
页码：6715 / 6725
页数：11
相关论文
共 50 条
  • [1] Global stability and numerical simulation of a mathematical model of stem cells therapy of HIV-1 infection
    Alqudah, Manar A.
    Aljahdaly, Noufe H.
    JOURNAL OF COMPUTATIONAL SCIENCE, 2020, 45
  • [2] Numerical Solution of Fractional Model of HIV-1 Infection in Framework of Different Fractional Derivatives
    Alzaid, Sara Salem
    Alkahtani, Badr Saad T.
    Sharma, Shivani
    Dubey, Ravi Shanker
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [3] Mathematical modeling and numerical simulation of HIV infection model
    Attaullah
    Sohaib, Muhammad
    RESULTS IN APPLIED MATHEMATICS, 2020, 7
  • [4] A MATHEMATICAL MODEL OF HIV-1 INFECTION INCLUDING THE SATURATION EFFECT OF HEALTHY CELL PROLIFERATION
    Kouche, Mahieddine
    Ainseba, Bedr'Eddine
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2010, 20 (03) : 601 - 612
  • [5] Hopf bifurcations in a mathematical model of HIV-1 infection with delay
    Bundau, Olivia
    Juratoni, Adina
    Kovacs, Adalbert
    2013 IEEE 8TH INTERNATIONAL SYMPOSIUM ON APPLIED COMPUTATIONAL INTELLIGENCE AND INFORMATICS (SACI 2013), 2013, : 201 - 204
  • [6] THERAPY OF HIV-1 INFECTION
    KOZAL, MJ
    MERIGAN, TC
    CURRENT OPINION IN INFECTIOUS DISEASES, 1994, 7 (01) : 72 - 81
  • [7] T-cell Proliferation in a Mathematical Model of CTL Activity Through HIV-1 Infection
    Roy, Priti Kumar
    Chatterjee, Amar Nath
    WORLD CONGRESS ON ENGINEERING, WCE 2010, VOL I, 2010, : 615 - 620
  • [8] A mathematical model for the dynamics of HIV-1 during the typical course of infection
    Gumel, AB
    Shivakumar, PN
    Sahai, BM
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (03) : 1773 - 1783
  • [9] A mathematical model of HIV-1 infection within host cell to cell viral transmissions with RTI and discrete delays
    Maheswari, M. C.
    Krishnapriya, P.
    Krishnan, K.
    Pitchaimani, M.
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 56 (1-2) : 151 - 178
  • [10] A mathematical model of HIV-1 infection within host cell to cell viral transmissions with RTI and discrete delays
    M. C. Maheswari
    P. Krishnapriya
    K. Krishnan
    M. Pitchaimani
    Journal of Applied Mathematics and Computing, 2018, 56 : 151 - 178
12345