The review of differential equation models of HBV infection dynamics
M Li, J Zu - Journal of virological methods, 2019 - Elsevier
Understanding the infection and pathogenesis mechanism of hepatitis B virus (HBV) is very
important for the prevention and treatment of hepatitis B. Mathematical models contribute to …
important for the prevention and treatment of hepatitis B. Mathematical models contribute to …
Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission
ABSTRACT HIV can infect cells via virus-to-cell infection or cell-to-cell viral transmission.
These two infection modes may occur in a synergistic way and facilitate viral spread within …
These two infection modes may occur in a synergistic way and facilitate viral spread within …
Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
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 …
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …
[HTML][HTML] Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment
The purpose of this paper is to investigate the qualitative behavior of HIV dynamics models
with immune impairment. The HIV particles infect both CD4+ T cells and macrophages. Both …
with immune impairment. The HIV particles infect both CD4+ T cells and macrophages. Both …
Stability of an adaptive immunity pathogen dynamics model with latency and multiple delays
AM Elaiw, NH AlShamrani - Mathematical Methods in the …, 2018 - Wiley Online Library
We incorporate three distributed time delays into the model of pathogen dynamics with
antibody and Cytotoxic T Lymphocyte (CTL) immune responses. We consider both actively …
antibody and Cytotoxic T Lymphocyte (CTL) immune responses. We consider both actively …
[HTML][HTML] Effect of cellular reservoirs and delays on the global dynamics of HIV
We investigate general HIV infection models with three types of infected cells: latently
infected cells, long-lived productively infected cells, and short-lived productively infected …
infected cells, long-lived productively infected cells, and short-lived productively infected …
Dynamic analysis of a cytokine-enhanced viral infection model with time delays and CTL immune response
T Zhang, X Xu, X Wang - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, a cytokine-enhanced viral infection model with time delays and CTL immune
response is proposed and analyzed. Multiple time delays, namely intracellular delay τ 1 …
response is proposed and analyzed. Multiple time delays, namely intracellular delay τ 1 …
A class of delayed viral models with saturation infection rate and immune response
X Wang, S Liu - Mathematical Methods in the Applied Sciences, 2013 - Wiley Online Library
In this paper, a class of three delayed viral dynamics models with immune response and
saturation infection rate are proposed and studied. By constructing suitable Lyapunov …
saturation infection rate are proposed and studied. By constructing suitable Lyapunov …
Stability analysis of a virus infection model with humoral immunity response and two time delays
H Miao, Z Teng, C Kang… - … Methods in the Applied …, 2016 - Wiley Online Library
In this paper, we investigate the dynamical properties for a model of delay differential
equations, which describes a virus‐immune interaction in vivo. By analyzing corresponding …
equations, which describes a virus‐immune interaction in vivo. By analyzing corresponding …
[HTML][HTML] The effects of CTL immune response on HIV infection model with potent therapy, latently infected cells and cell-to-cell viral transmission
T Guo, Z Qiu - Mathematical Biosciences and Engineering, 2019 - aimspress.com
In this paper, a mathematical model is formulated to investigate the effect of cytotoxic T
lymphocyte (CTL) immune response on human immunodeficiency virus (HIV) infection …
lymphocyte (CTL) immune response on human immunodeficiency virus (HIV) infection …