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 …

Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission

X Wang, S Tang, X Song, L Rong - Journal of biological dynamics, 2017 - Taylor & Francis
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 …

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 of delayed HIV dynamics models with two latent reservoirs and immune impairment

AM Elaiw, AA Raezah, SA Azoz - Advances in Difference Equations, 2018 - Springer
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 …

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 …

[HTML][HTML] Effect of cellular reservoirs and delays on the global dynamics of HIV

AM Elaiw, EK Elnahary, AA Raezah - Advances in Difference Equations, 2018 - Springer
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 …

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 …

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 …

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 …

[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 …