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 …

Modeling the memory and adaptive immunity in viral infection

A Boukhouima, K Hattaf, N Yousfi - Trends in Biomathematics …, 2019 - Springer
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 …

Analysis of latent CHIKV dynamics models with general incidence rate and time delays

AM Elaiw, TO Alade, SM Alsulami - Journal of Biological Dynamics, 2018 - Taylor & Francis
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 …

[HTML][HTML] Effect of humoral immunity on HIV-1 dynamics with virus-to-target and infected-to-target infections

AM Elaiw, AA Raezah, AS Alofi - AIP Advances, 2016 - pubs.aip.org
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 …

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

M Naim, Y Sabbar, M Zahri, B Ghanbari, A Zeb… - Physica …, 2022 - iopscience.iop.org
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 …

Global stability analysis of a delay cell-population model of hepatitis B infection with humoral immune response

C Tadmon, S Foko, AD Rendall - Dynamical Systems, 2021 - Taylor & Francis
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 …

Global stability of virus dynamics of an adaptive immune response with two routes of infection and latency

SA Ghaleb, AM Elaiw, M Alnegga… - International Journal of …, 2023 - Springer
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 …

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 …

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 …

[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 …