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 …

Global dynamics of a mathematical model for HTLV-I infection of CD4+ T cells with delayed CTL response

MY Li, H Shu - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
Human T-cell leukaemia virus type I (HTLV-I) preferentially infects the CD4+ T cells. The
HTLV-I infection causes a strong HTLV-I specific immune response from CD8+ cytotoxic T …

A time scale approach for analyzing pathogenesis of ATL development associated with HTLV-1 infection

E Akın, NN Pelen - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
In this paper, mathematical modeling of the dynamics of Human T-cell lymphotropic virus
type I (HTLV-1) infection and the development of adult T-cell leukemia (ATL) cells is …

[PDF][PDF] Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity

AM Elaiw, AS Shflot, AD Hobiny - Math. Biosci. Eng, 2022 - aimspress.com
This paper formulates and analyzes a general delayed mathematical model which describe
the within-host dynamics of Human T-cell lymphotropic virus class I (HTLV-I) under the effect …

Global Dynamics of an HTLV‐1 Model with Cell‐to‐Cell Infection and Mitosis

S Li, Y Zhou - Abstract and Applied Analysis, 2014 - Wiley Online Library
A mathematical model of human T‐cell lymphotropic virus type 1 in vivo with cell‐to‐cell
infection and mitosis is formulated and studied. The basic reproductive number R0 is …

Analyzing global stability of a viral model with general incidence rate and cytotoxic T lymphocytes immune response

H Yang, J Wei - Nonlinear Dynamics, 2015 - Springer
The global dynamics of a viral model with general incidence rate and CTL immune response
is investigated. We derive the basic reproduction number for viral infection R_ 0 R 0 and the …

[PDF][PDF] Global dynamics of a HTLV-I infection model with CTL response

X Sun, J Wei - Electronic Journal of Qualitative Theory of Differential …, 2013 - real.mtak.hu
In this paper, a HTLV-I infection model with CTL response is considered. To account for a
series of events in infection process, we incorporate a intracellular time delay in the model …

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 properties of a virus dynamics model with self-proliferation of CTLs

C Jiang, H Kong, G Zhang, K Wang - Mathematics in Applied Sciences …, 2021 - ojs.lib.uwo.ca
A viral infection model with self-proliferation of cytotoxic T lymphocytes (CTLs) is proposed
and its global dynamics is obtained. When the per capita self-proliferation rate of CTLs is …

[PDF][PDF] BACKWARD BIFURCATION OF AN HTLV-I MODEL WITH IMMUNE RESPONSE.

S Li, Z YlCANG - Discrete & Continuous Dynamical …, 2016 - pdfs.semanticscholar.org
Human T-cell Lymphotropic virus type 1 (HTLV-I) causes HAM/T SP and other illnesses.
HTLV-I mainly infects CD4+ T cells and activates HTLV-I-specific immune response. In this …