[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 …

[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 …

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 …

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 …

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 …

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 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 …

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 …

[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 …