Dynamical analysis on a chronic hepatitis C virus infection model with immune response

J Li, K Men, Y Yang, D Li - Journal of Theoretical Biology, 2015 - Elsevier
A mathematical model for HCV infection is established, in which the effect of dendritic cells
(DC) and cytotoxic T lymphocytes (CTL) on HCV infection is considered. The basic …

Threshold dynamics of a HCV model with virus to cell transmission in both liver with CTL immune response and the extrahepatic tissue

X Hu, J Li, X Feng - Journal of Biological Dynamics, 2021 - Taylor & Francis
In this paper, a deterministic model characterizing the within-host infection of Hepatitis C
virus (HCV) in intrahepatic and extrahepatic tissues is presented. In addition, the model also …

[PDF][PDF] Dynamical analysis of an HCV model with cell-to-cell transmission and cure rate in the presence of adaptive immunity

M Sadki, S Harroudi, K Allali - Mathematical modeling and …, 2022 - jnas.nbuv.gov.ua
In this paper, we will study mathematically and numerically the dynamics of the hepatitis C
virus disease with the consideration of two fundamental modes of transmission of the …

[HTML][HTML] Global dynamics of an epidemiological model with acute and chronic HCV infections

JA Cui, S Zhao, S Guo, Y Bai, X Wang… - Applied Mathematics …, 2020 - Elsevier
In this paper, an epidemiological model of hepatitis C with acute and chronic infections is
proposed, and then the global dynamics of this model is studied. It emphasizes that acute …

Global properties of a HBV infection model with HBV DNA-containing capsids and CTL immune response

K Manna - International Journal of Applied and Computational …, 2017 - Springer
In this paper, the global dynamical behavior of a hepatitis B virus (HBV) infection model with
HBV DNA-containing capsids and cytotoxic T lymphocytes (CTLs) immune response is …

The importance of immune responses in a model of hepatitis B virus

J Pang, J Cui, J Hui - Nonlinear Dynamics, 2012 - Springer
In this paper, the dynamical behavior of a hepatitis B virus model with CTL immune
responses is studied. Analyzing the model, we show that the virus-free equilibrium is …

A viral infection model with periodic immune response and nonlinear CTL response

Y Ji, L Min, Y Zheng, Y Su - Mathematics and Computers in Simulation, 2010 - Elsevier
This paper investigates a viral infection model with periodic immune response and nonlinear
cytotoxic T lymphocyte (CTL) response. Using the periodic rhythms of human immune …

Dynamics of a generalized viral infection model with adaptive immune response

K Hattaf, M Khabouze, N Yousfi - International Journal of Dynamics and …, 2015 - Springer
A mathematical model for viral infection is formulated by five nonlinear differential equations
to describe the interactions between virus, host cells, and the adaptive immune response …

[HTML][HTML] Effect of time delay and antibodies on HCV dynamics with cure rate and two routes of infection

AM Elaiw, SA Ghaleb, A Hobiny - Journal of Applied Mathematics and …, 2018 - scirp.org
In this paper we propose and analyze an HCV dynamics model taking into consideration the
cure of infected hepatocytes and antibody immune response. We incorporate both virus-to …

Stability analysis of HCV dynamic model with saturation incidence, cellular immunity and interferon effect in intrahepatic and extrahepatic tissues

B Yu, J Shi, Z Xue, M Yang, X Yang, Y Su - Mathematics and Computers in …, 2024 - Elsevier
An HCV model with saturation incidence and cellular immunity is constructed and analyzed.
The model takes account of both intrahepatic and extrahepatic tissues and the effect of …