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
… that the global dynamics of T cells are completely determined by a basic reproduction number
R 0 . If R 0 ⩽1, infected T cells always die out. If R 0 >1, HTLV-I infection becomes chronic, …

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
… , HTLV-I associated myelopathy/tropical spastic paraparesis (HAM/TSP). We investigate
the global dynamics of a mathematical model for the CTL response to HTLV-I infection in vivo. …

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
… of the HTLV-I infection model with respect to R 0 and R 1 . Implications of our findings to
the dynamics of CTL response to HTLV-I infections in vivo and pathogenesis of HTLV-I …

[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
global dynamics of a model for HTLV-I infectionglobal dynamics of T-cells infection, ie, if
R 0 ⩽ 1 , infected T-cells always die out; if R 0 > 1 , the unique infected equilibrium is globally

The complete classification for global dynamics of a model for the persistence of HTLV-I infection

C Vargas-De-León - Applied Mathematics and Computation, 2014 - Elsevier
… The present paper is to provide a complete classification of global dynamics for this ODE
model. In particular, our global analysis establishes that the dynamics of the HTLV-I infection

[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
infection process, we incorporate a intracellular time delay in the model. We prove that the
global dynamics … numbers for viral infection and for CTL response, respectively. If R0 < 1, the …

[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
… model for the transmission dynamics of the HTLV-I infection. The force of infection is assumed
to … Our mathematical analysis establishes that the global dynamics of T-cell infection are …

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
… the pathogenesis of HTLV-I infection with logistic proliferation … We research mainly the local
and global dynamical properties of … 2, the model about HTLV-I infection and the biological …

HTLV-I infection: a dynamic struggle between viral persistence and host immunity

AG Lim, PK Maini - Journal of theoretical biology, 2014 - Elsevier
… Undoubtedly, one of the greatest advantages to modelling the HTLV-I system using a … global
qualitative behaviour of all possible solutions of model (1). Establishing the global dynamics

Dynamics of an HTLV-I infection model with delayed CTLs immune response

S Bera, S Khajanchi, TK Roy - Applied Mathematics and Computation, 2022 - Elsevier
… model by considering delayed CTL immune response and performed global dynamics of
the biologically feasible equilibrium points by using reproductive numbers R 0 and R 1 . Their …