Analysis of a fractional HIV model with Caputo and constant proportional Caputo operators

H Günerhan, H Dutta, MA Dokuyucu, W Adel - Chaos, Solitons & Fractals, 2020 - Elsevier
The paper aims to investigate an HIV epidemic fractional model. The fractional derivatives
are described in the sense of Caputo operator and Constant Proportional Caputo (CPC) …

Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay

J Wang, M Guo, X Liu, Z Zhao - Applied Mathematics and Computation, 2016 - Elsevier
The goal of this paper is to study the threshold dynamics of an HIV-1 viral infection model
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …

Analysis of a within-host HIV/HTLV-I co-infection model with immunity

AM Elaiw, NH Alshamrani - Virus Research, 2021 - Elsevier
Human immunodeficiency virus (HIV) and human T-lymphotropic virus type I (HTLV-I) are
two retroviruses that attack the immune cells and impair their functions. Both HIV and HTLV-I …

Stability of a general CTL-mediated immunity HIV infection model with silent infected cell-to-cell spread

AM Elaiw, NH Alshamrani - Advances in Difference Equations, 2020 - Springer
This paper proposes and analyzes a CTL-mediated HIV infection model. The model
describes the interaction between healthy CD4+ T cells, silent infected cells, active infected …

Dynamical behaviour of HIV Infection with the influence of variable source term through Galerkin method

R Jan, Ş Yüzbaşı - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, we formulate the intricate process of Human Immunodeficiency Virus (HIV)
infection in a mathematical model. In the formulation of the model, the density of CD 4+ T …

[HTML][HTML] Analytical and approximate solutions of an epidemic system of HIV/AIDS transmission

W Gao, H Günerhan, HM Baskonus - Alexandria Engineering Journal, 2020 - Elsevier
This paper constructs approximate solutions of the epidemic system of HIV/AIDS
transmission model with the help of the conformable fractional differential transform method …

A mathematical model for transmission dynamics of HIV/AIDS with effect of weak CD4+ T cells

A Dutta, PK Gupta - Chinese journal of physics, 2018 - Elsevier
A mathematical model is proposed for the dynamics of HIV/AIDS with incorporation of weak
CD4+ T cells. The model considers three different categories of cells: uninfected CD4+ T …

[HTML][HTML] The effects of CTL immune response on HIV infection model with potent therapy, latently infected cells and cell-to-cell viral transmission

T Guo, Z Qiu - Mathematical Biosciences and Engineering, 2019 - aimspress.com
In this paper, a mathematical model is formulated to investigate the effect of cytotoxic T
lymphocyte (CTL) immune response on human immunodeficiency virus (HIV) infection …

Dynamics of HIV-1/HTLV-I co-infection model with humoral immunity and cellular infection

NH AlShamrani, MA Alshaikh, AM Elaiw, K Hattaf - Viruses, 2022 - mdpi.com
Human immunodeficiency virus type 1 (HIV-1) and human T-lymphotropic virus type I (HTLV-
I) are two retroviruses which infect the same target, CD 4+ T cells. This type of cell is …

[PDF][PDF] Mathematical modeling of HIV/HTLV co-infection with CTL-mediated immunity

AM Elaiw, NH Alshamrani, AD Hobiny - AIMS Math, 2021 - aimspress.com
In the literature, a great number of HIV and HTLV-I mono-infection models has been
formulated and analyzed. However, the within-host dynamics of HIV/HTLV-I co-infection has …