Mathematical analysis of a fractional differential model of HBV infection with antibody immune response

J Danane, K Allali, Z Hammouch - Chaos, Solitons & Fractals, 2020 - Elsevier
Fractional differential mathematical model describing the dynamics of hepatitis B viral
infection with DNA-containing capsids, the liver hepatocytes and the humoral immune …

Stability characterization of a fractional-order viral system with the non-cytolytic immune assumption

M Naim, Y Sabbar, A Zeb - Mathematical Modelling and Numerical …, 2022 - dergipark.org.tr
This article deals with a Caputo fractional-order viral model that incorporates the non-
cytolytic immune hypothesis and the mechanism of viral replication inhibition. Firstly, we …

Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal

AM Elaiw, NH Alshamrani - Nonlinear Analysis: Real World Applications, 2015 - Elsevier
In this paper, we investigate the dynamical behavior of two nonlinear models for viral
infection with humoral immune response. The first model contains four compartments; …

Hepatitis C virus fractional-order model: mathematical analysis

M Sadki, J Danane, K Allali - Modeling Earth Systems and Environment, 2023 - Springer
Mathematical analysis of epidemics is crucial for the prediction of diseases over time and
helps to guide decision makers in terms of public health policy. It is in this context that the …

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 …

Mathematical modeling, analysis and numerical simulation of HIV: The influence of stochastic environmental fluctuations on dynamics

H Qi, X Meng - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, we explore the effect of the stochastic environmental fluctuations on the
dynamics of an HIV system with both virus-to-cell and cell-to-cell transmissions, intracellular …

Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity

J Lin, R Xu, X Tian - Applied mathematics and computation, 2017 - Elsevier
Direct cell-to-cell transmission of HIV-1 is proved to be a more efficient means of virus
infection than virus-to-cell transmission. In this paper, we incorporate both virus-to-cell and …

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 …

Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity

T Wang, Z Hu, F Liao, W Ma - Mathematics and Computers in Simulation, 2013 - Elsevier
In this paper, we investigate the dynamical behavior of a virus infection model with general
incidence rate and humoral immunity. By using suitable Lyapunov functional and the …

[HTML][HTML] Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response

T Wang, Z Hu, F Liao - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
In this paper, we investigate the dynamical behavior of a virus infection model with delayed
humoral immunity. By using suitable Lyapunov functional and the LaSalleʼs invariance …