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 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 …

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 …

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 …

[HTML][HTML] Global stability of a general HTLV-I infection model with Cytotoxic T-Lymphocyte immune response and mitotic transmission

AM Elaiw, AS Shflot, AD Hobiny - Alexandria Engineering Journal, 2023 - Elsevier
Mathematical models have been considered as a robust tool to support biological and
medical studies of human viral infections. The global stability of viral infection models …

[HTML][HTML] Global dynamics of a mathematical model for HTLV-I infection of CD4+ T-cells

L Cai, X Li, M Ghosh - Applied mathematical modelling, 2011 - Elsevier
In this paper, a mathematical model for HILV-I infection of CD4+ T-cells is investigated. The
force of infection is assumed be of a function in general form, and the resulting incidence …

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 …

Dynamics of stochastic HTLV‐I infection model with nonlinear CTL immune response

D Kuang, Q Yin, J Li - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
In this paper, the dynamics of stochastic human T‐cell leukemia virus type I (HTLV‐I)
infection model with cytotoxic T lymphocyte (CTL) immune response is investigated. First, we …

Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment.

L Wang, Z Liu, Y Li, D Xu - Discrete & Continuous Dynamical …, 2020 - search.ebscohost.com
It is well known that CTL (cytotoxic T lymphocyte) immune response could be broadly
classified into lytic and nonlytic components, nonlinear functions can better reproduce …

Global stability and periodic solution of a model for HTLV-I infection and ATL progression

X Song, Y Li - Applied mathematics and computation, 2006 - Elsevier
Human T-cell lymphotropic virus I (HTLV-I) infection is linked to the development of adult T-
cell leukemia/lymphoma (ATL), among many illness. The healthy CD4+ T cells infect HTLV-I …