Population dynamics of HTLV‐I infection: A discrete‐time mathematical epidemic model approach

N Eshima, M Tabata, T Okada… - … Medicine and Biology: A …, 2003 - ieeexplore.ieee.org
… of HTLV-I infection in a discrete-time mathematical modelinfection model presented in
this paper remains valid in the future. From Theorems 3.2 and 3.4, even if α = 1, the HTLV

Stability analysis of fuzzy HTLV-I infection model: a dynamic approach

S Bera, S Khajanchi, TK Roy - Journal of Applied Mathematics and …, 2023 - Springer
… systems in the epidemiological model was given by Ortega et al. [27]. Barros et al. [18]
gave an idea about the susceptible-infected epidemiological model under fuzziness and …

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
… Theorem 2.1 completely determines the bifurcation and the global dynamics of T cells,
which demonstrate the classical threshold phenomenon of standard epidemic models. It …

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
… key parameters of the HTLV-I infection model with respect to … to HTLV-I infections in vivo
and pathogenesis of HTLV-I … -term dynamics of HTLV-I infection approaches to a singular …

Transmission and population dynamics of HTLV‐1 infection

J Seydel, A Krämer - International journal of cancer, 1996 - Wiley Online Library
… We present a modelling approach for transmission and population dynamics of human T-cell
lymphotropic-virus-type4 (HTLV-I) infection. A steady-state analysis of the model was used …

[PDF][PDF] Global dynamics of a mathematical model for HTLV-I infection of T cells

H Gomez-Acevedo, MY Li - Canad. Appl. Math. Quart, 2002 - ualberta.ca
… cell-to-cell contact with infected T cells. We consider a compartmental model for the
transmission dynamics of the HTLV-I infection. The force of infection is assumed to be of a general …

Global epidemiology of HTLV-I infection and associated diseases

FA Proietti, ABF Carneiro-Proietti, BC Catalan-Soares… - Oncogene, 2005 - nature.com
… -I using an enzyme-linked immunoassay (EIA), with confirmatory testing by another
method such as Western blotting, immunofluorescence (IFA) or radio-immunoprecipitation (RIPA). …

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 HTLV-I models, but to the best of our knowledge, there is no model that has included both
of the two delays together, which are biologically reasonable during the HTLV-I infection. In …

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
… The HTLV-I infection causes a strong HTLV-I specific … a progressive neurologic disease,
HTLV-I associated myelopathy/… mathematical model for the CTL response to HTLV-I infection in …

Analysis of the infection system of human T‐cell leukaemia virus type I based on a mathematical epidemic model

N Eshima, M Tabata, H Kikuchi, S Karukaya… - Statistics in …, 2001 - Wiley Online Library
… the HTLV-I infection system is discussed through a mathematical model, referred to as the
HTLV-I model. … paper has explained the HTLV-I infection system in Japan by a new approach. …