Stability characterization of a fractional-order viral system with the non-cytolytic immune assumption
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 …
cytolytic immune hypothesis and the mechanism of viral replication inhibition. Firstly, we …
Modeling the memory and adaptive immunity in viral infection
The adaptive immunity is a complex system that involves memory and plays an important
role in the control of viral infection such as human immunodeficiency virus (HIV), hepatitis B …
role in the control of viral infection such as human immunodeficiency virus (HIV), hepatitis B …
Analysis of latent CHIKV dynamics models with general incidence rate and time delays
In this paper, we study the stability analysis of latent Chikungunya virus (CHIKV) dynamics
models. The incidence rate between the CHIKV and the uninfected monocytes is modelled …
models. The incidence rate between the CHIKV and the uninfected monocytes is modelled …
[HTML][HTML] Effect of humoral immunity on HIV-1 dynamics with virus-to-target and infected-to-target infections
We consider an HIV-1 dynamics model by incorporating (i) two routes of infection via,
respectively, binding of a virus to a receptor on the surface of a target cell to start genetic …
respectively, binding of a virus to a receptor on the surface of a target cell to start genetic …
The impact of dual time delay and Caputo fractional derivative on the long-run behavior of a viral system with the non-cytolytic immune hypothesis
Proceeding from the fact that fractional systems can better characterize the virological
properties than the ordinary formulation, in the present study, we treat a Caputo fractional …
properties than the ordinary formulation, in the present study, we treat a Caputo fractional …
Global stability analysis of a delay cell-population model of hepatitis B infection with humoral immune response
In this work, we propose and investigate a delay cell population model of hepatitis B virus
(HBV) infection. We suppose spatial diffusion of free HBV particles, and use a Beddington …
(HBV) infection. We suppose spatial diffusion of free HBV particles, and use a Beddington …
Global stability of virus dynamics of an adaptive immune response with two routes of infection and latency
Herein, a virus dynamics model with cytotoxic T lymphocyte (CTL) and antibody immune
responses is formulated and analyzed. The model considers two sorts of infected cells …
responses is formulated and analyzed. The model considers two sorts of infected cells …
Stability, Hopf Bifurcation and Numerical Simulation of an HIV Model with Two Modes of Transmission and with Cellular and Humoral Immunity
Z Hemmatzadeh, V Roomi… - International Journal of …, 2023 - World Scientific
In this paper, we incorporate immune systems containing Cytotoxic T lymphocyte and
humoral immunity into a general human immunodeficiency viruses infection model, which …
humoral immunity into a general human immunodeficiency viruses infection model, which …
Dynamical behavior of a coupling SEIR epidemic model with transmission in body and vitro, incubation and environmental effects
A Aili, Z Teng, L Zhang - Mathematical biosciences and …, 2023 - pubmed.ncbi.nlm.nih.gov
In this paper, a coupling SEIR epidemic model is proposed to characterize the interaction of
virus spread in the body of hosts and between hosts with environmentally-driven infection …
virus spread in the body of hosts and between hosts with environmentally-driven infection …
[HTML][HTML] Dynamical analysis of a general delayed HBV infection model with capsids and adaptive immune response in presence of exposed infected hepatocytes
S Foko - Journal of Mathematical Biology, 2024 - Springer
The aim of this paper is to develop and investigate a novel mathematical model of the
dynamical behaviors of chronic hepatitis B virus infection. The model includes exposed …
dynamical behaviors of chronic hepatitis B virus infection. The model includes exposed …