Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes

S Khajanchi, S Bera, TK Roy - Mathematics and Computers in Simulation, 2021 - Elsevier
A mathematical model for the CD8+ T-cell response to Human T cell leukemia/lymphoma
virus type I (HTLV-I) infection is investigated in this paper. The proposed model, which …

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 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 …

Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression

L Wang, MY Li, D Kirschner - Mathematical Biosciences, 2002 - Elsevier
Mathematical analysis is carried out that completely determines the global dynamics of a
mathematical model for the transmission of human T-cell lymphotropic virus I (HTLV-I) …

Backward bifurcation in a model for HTLV-I infection of CD4+ T cells

H Gómez-Acevedo, MY Li - Bulletin of Mathematical Biology, 2005 - Springer
Abstract Human T-cell Lymphotropic Virus Type I (HTLV-I) primarily infects CD4+ helper T
cells. HTLV-I infection is clinically linked to the development of Adult T-cell …

Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection

MY Li, H Shu - Bulletin of mathematical biology, 2011 - Springer
Stable periodic oscillations have been shown to exist in mathematical models for the CTL
response to HTLV-I infection. These periodic oscillations can be the result of mitosis of …

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 …

Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions

Y Yang, L Zou, S Ruan - Mathematical biosciences, 2015 - Elsevier
A within-host viral infection model with both virus-to-cell and cell-to-cell transmissions and
three distributed delays is investigated, in which the first distributed delay describes the …

A delay-differential equation model of HIV infection of CD4+ T-cells

RV Culshaw, S Ruan - Mathematical biosciences, 2000 - Elsevier
AS Perelson, DE Kirschner and R. De Boer (Math. Biosci. 114 (1993) 81) proposed an ODE
model of cell-free viral spread of human immunodeficiency virus (HIV) in a well-mixed …

[PDF][PDF] Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay

H Zhu, X Zou - Discrete Contin. Dyn. Syst. Ser. B, 2009 - pdfs.semanticscholar.org
In this paper, we consider a mathematical model for HIV-1 infection with intracellular delay
and cell-mediated immune response. A novel feature is that both cytotoxic T lymphocytes …