Mathematical analysis of an HTLV-I infection model with the mitosis of CD4+ T cells and delayed CTL immune response

C Song, R Xu - Nonlinear Analysis: Modelling and Control, 2021 - zurnalai.vu.lt
In this paper, we consider an improved Human T-lymphotropic virus type I (HTLV-I) infection
model with the mitosis of CD4+ T cells and delayed cytotoxic T-lymphocyte (CTL) immune …

Global stability for delay-dependent HTLV-I model with CTL immune response

Y Wang, J Liu - International Conference of Numerical …, 2016 - ui.adsabs.harvard.edu
We present a delay-dependent HTLV-I model with CTL immune response. The basic
reproduction number is obtained for the existence of positive steady state. By constructing …

Stability and Hopf bifurcation analysis of a HTLV-Ⅰ infection model with time-delay CTL immune response

S Chen, Z Liu, L Wang, X Zhang - Discrete and Continuous …, 2024 - aimsciences.org
This paper is devoted to proposing a mathematical model in order to explore the dynamics
of HTLV-Ⅰ (human T-cell leukemia virus type-Ⅰ) infection, in which the closely related …

Global stability of a delayed HTLV-I infection model with a class of nonlinear incidence rates and CTLs immune response

Y Muroya, Y Enatsu, H Li - Applied Mathematics and Computation, 2013 - Elsevier
In this paper, applying new Lyapunov functional techniques to a delayed HTLV-I infection
model with a class of nonlinear incidence rates and CTLs immune response, we establish …

Global dynamics analysis for a nonlinear HTLV-I model with logistic proliferation and CTL response

S Chen, Z Liu, L Wang, X Zhang - International Journal of …, 2024 - World Scientific
It is beyond dispute that cytotoxic T-lymphocytes (CTLs) exert a vital function in the host's
antiviral defense mechanism. With the idea of the above factor and the logistic proliferation …

Dynamics analysis of an HTLV‐1 infection model with mitotic division of actively infected cells and delayed CTL immune response

F Li, W Ma - Mathematical Methods in the Applied Sciences, 2018 - Wiley Online Library
In this paper, we propose an improved human T‐cell leukemia virus type 1 infection model
with mitotic division of actively infected cells and delayed cytotoxic T lymphocyte immune …

Dynamics of an HTLV-I infection model with delayed CTLs immune response

S Bera, S Khajanchi, TK Roy - Applied Mathematics and Computation, 2022 - Elsevier
This paper deals with a four dimensional mathematical model for Human T-cell leukemia
virus type-I (HTLV-I) infection that includes delayed CD8+ cytotoxic T-cells (CTLs) immune …

Global dynamics of a delayed HTLV-I infection model with Beddington-DeAngelis incidence and immune impairment

X Jia, R Xu - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, we investigate a delayed HTLV-I infection model with Beddington-DeAngelis
incidence, CTL immune response and immune impairment. In the model, the intracellular …

A mathematical model of HTLV-I infection with two time delays

X Lu, L Hui, S Liu, J Li - Mathematical Biosciences & Engineering, 2014 - aimsciences.org
In this paper, we include two time delays in a mathematical model for the CD8+ cytotoxic T
lymphocytes (CTLs) response to the Human T-cell leukaemia virus type I (HTLV-I) infection …

[HTML][HTML] 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 …