Global Dynamics of a Diffusive Within-Host HTLV/HIV Co-Infection Model with Latency

NH AlShamrani, A Elaiw, AA Raezah, K Hattaf - Mathematics, 2023 - mdpi.com
In several publications, the dynamical system of HIV and HTLV mono-infections taking into
account diffusion, as well as latently infected cells in cellular transmission has been …

Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response

AM Ełaiw, AA Raezah, K Hattaf - International Journal of …, 2017 - World Scientific
This paper studies the dynamical behavior of an HIV-1 infection model with saturated virus-
target and infected-target incidences with Cytotoxic T Lymphocyte (CTL) immune response …

Dynamics and optimal therapy of a stochastic HTLV‐1 model incorporating Ornstein–Uhlenbeck process

S Chen, Z Liu, X Zhang, L Wang - Mathematical Methods in the … - Wiley Online Library
As the prevalence of viral infection in body, human T‐cell leukemia virus type 1 (HTLV‐1) is
receiving increasing attention. Research on the corresponding virus models is of great …

[PDF][PDF] Global Stability Analysis for a Delayed HIV Infection Model with General Incidence Rate and Cell Immunity.

C Kang, H Miao, X Chen - Engineering Letters, 2016 - engineeringletters.com
In this paper, the global dynamical behaviors for a four-dimensional HIV infection model with
intracellular delay and production delay which describes the interactions of cytotoxic T …

Global stability for a class of HIV infection models with cure of infected cells in eclipse stage and CTL immune response

M Maziane, K Hattaf, N Yousfi - International Journal of Dynamics and …, 2017 - Springer
The aim of this work is to investigate the global dynamical behaviors of two human
immunodeficiency virus infection models with cure of infected cells in eclipse stage and …

Dynamical behaviors of an HTLV-I infection model with intracellular delay and immune activation delay

J Wang, K Wang, Z Jiang - Advances in Difference Equations, 2015 - Springer
This paper investigates the dynamics of an HTLV-I infection model with intracellular delay
and immune activation delay. The primary objective of the study is to consider the effect of …

[PDF][PDF] Global stability analysis of a generalized virus dynamics model with the immune response

K Hattaf, N Yousfi, A Tridane - Canadian Applied Mathematics …, 2012 - researchgate.net
The aim of this work is to study the global stability of a generalized model of a viral dynamic
that includes the adaptive immune response, represented by Cytotoxic Lymphocyte T-cell …

Threshold dynamics of a delayed virus infection model with cellular immunity and general nonlinear incidence

J Xu, Y Geng - Mathematical Methods in the Applied Sciences, 2019 - Wiley Online Library
The goal of this paper is to investigate the dynamical behavior of a general nonlinear
delayed viral infection model with cytotoxic T lymphocyte (CTL) immune response. The …

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 …

Global Properties of HIV-1 Dynamics Models with CTL Immune Impairment and Latent Cell-to-Cell Spread

NH AlShamrani, RH Halawani, W Shammakh… - Mathematics, 2023 - mdpi.com
This paper presents and analyzes two mathematical models for the human
immunodeficiency virus type-1 (HIV-1) infection with Cytotoxic T Lymphocyte cell (CTL) …