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+ … I (HTLV-I)
infection, where one is the intracellular infection delay and the other is the immune delay to …

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

S Bera, S Khajanchi, TK Roy - Applied Mathematics and Computation, 2022 - Elsevier
… dynamics of HTLV-I infection model and the introduction of intracellular time delay due to …
investigate the global stability of the infection-free steady state, HTLV-I free steady state and …

[HTML][HTML] Viral dynamics of an HTLV-I infection model with intracellular delay and CTL immune response delay

Y Wang, J Liu, JM Heffernan - Journal of Mathematical Analysis and …, 2018 - Elsevier
… model of HTLV-I infection with two time delays: an intracellular delay, and a CTL immune
response delay. The basic reproduction number R 0 , which depends on the intracellular delay, …

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
2 exists, at which the HTLV-I infection is chronic with a persistent CTL response. We show that
the time delay … Implications of our results to the pathogenesis of HTLV-I infection and HAM/…

Stability of an HTLV-HIV coinfection model with multiple delays and CTL-mediated immunity

NH Alshamrani - Advances in Difference Equations, 2021 - Springer
2 The multiple delays model … -time delays and mitosis of active HTLV-infected cells.
We achieve this goal by considering the following system of delay differential equations (DDEs): …

[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 … in infection process, we incorporate a
intracellular time delay in the model. We prove that the global dynamics are determined by two

[HTML][HTML] Rich dynamics in a delayed HTLV-I infection model: Stability switch, multiple stable cycles, and torus

X Pan, Y Chen, H Shu - Journal of Mathematical Analysis and Applications, 2019 - Elsevier
time delay in CTL immune response on a HTLV-I infection model. By defining basic reproduction
number for viral infection … according to whether these two threshold values are greater …

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
… the delay effects. For these reasons, we develop an HTLV-I (Human T-cell leukemia virus type
I) infection … incidence rate, distributed intracellular delay and immune impairment. Through …

Stability of HIV/HTLV‐I co‐infection model with delays

AM Elaiw, NH AlShamrani - Mathematical Methods in the …, 2022 - Wiley Online Library
… φ ∈ (0, 1) is the probability of new HTLV infections that could enter a … time delays. Moreover,
we assume that both latent and active HIV-infected cells can participate in CTC infection. …

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
… of infected target CD4 + cells, of a general form of response function, or of time delays in the
… simple mathematical model that time delays in the CTL response process to HTLV-I infection …