Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay

J Wang, M Guo, X Liu, Z Zhao - Applied Mathematics and Computation, 2016 - Elsevier
The goal of this paper is to study the threshold dynamics of an HIV-1 viral infection model
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …

[HTML][HTML] Stability analysis in delayed within-host viral dynamics with both viral and cellular infections

SS Chen, CY Cheng, Y Takeuchi - Journal of Mathematical Analysis and …, 2016 - Elsevier
We consider a within-host viral model by incorporating (i) mitosis of the healthy target cells
which is described by the logistic term;(ii) two routes of infection via, respectively, binding of …

Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays

J Wang, J Pang, T Kuniya, Y Enatsu - Applied Mathematics and …, 2014 - Elsevier
In this paper, we investigate the dynamics of a five-dimensional virus model with immune
responses and an intracellular delay which describes the interactions of the HIV virus, CD4 …

Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses

K Qi, D Jiang, T Hayat, A Alsaedi - Mathematics and Computers in …, 2021 - Elsevier
This study investigated the impact of white noise on the HIV/AIDS model with a cytotoxic T
lymphocyte (CTL) immune response. The model introduced the interactions between the …

Reachability of fractional dynamical systems with multiple delays in control using ψ-Hilfer pseudo-fractional derivative

A Panneer Selvam, V Govindaraj - Journal of Mathematical Physics, 2022 - pubs.aip.org
In this article, we study the reachability of linear and non-linear fractional dynamical systems
with multiple delays in control in the sense of the ψ-Hilfer pseudo-fractional derivative. The …

[HTML][HTML] Dynamics of a diffusive virus model with general incidence function, cell-to-cell transmission and time delay

H Sun, J Wang - Computers & Mathematics with Applications, 2019 - Elsevier
In this paper, we revisit a diffusive virus dynamics model with general incidence function and
time delay. One novelty of our model is that we introduce cell-to-cell transmission via …

Using Lyapunov functions to construct Lyapunov functionals for delay differential equations

CC McCluskey - SIAM Journal on Applied Dynamical Systems, 2015 - SIAM
Given that a Lyapunov function is known for a particular system, we outline an approach for
determining terms in the system that can be replaced by similar terms that include delay …

Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays

Z Yuan, X Zou - Mathematical Biosciences & Engineering, 2013 - aimsciences.org
We consider a mathematical model that describes the interactions of the HIV virus, CD4 cells
and CTLs within host, which is a modification of some existing models by incorporating (i) …

Global stability of a virus dynamics model with intracellular delay and CTL immune response

X Li, S Fu - Mathematical Methods in the Applied Sciences, 2015 - Wiley Online Library
In this paper, the global stability of a virus dynamics model with intracellular delay, Crowley–
Martin functional response of the infection rate, and CTL immune response is studied. By …

[PDF][PDF] Global stability of a delay differential equation of hepatitis B virus infection with immune

J Wang, X Tian - Electronic Journal of Differential Equations, 2013 - ejde.math.unt.edu
The global stability for a delayed HBV infection model with CTL immune response is
investigated. We show that the global dynamics is determined by two sharp thresholds …