Stability analysis of a virus dynamics model with general incidence rate and two delays

K Hattaf, N Yousfi, A Tridane - Applied Mathematics and Computation, 2013 - Elsevier
The aim of this work is to study the dynamical behavior of a virus dynamics model with
general incidence rate and two delays. The first delay represents the time from the virus …

Mathematical analysis of a virus dynamics model with general incidence rate and cure rate

K Hattaf, N Yousfi, A Tridane - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
The rate of infection in many virus dynamics models is assumed to be bilinear in the virus
and uninfected target cells. In this paper, the dynamical behavior of a virus dynamics model …

Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response

X Tian, R Xu - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, an HIV-1 infection model with saturation incidence and time delay due to the
CTL immune response is investigated. By analyzing corresponding characteristic equations …

Global properties of an improved hepatitis B virus model

K Wang, A Fan, A Torres - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
Hepatitis B virus (HBV) infection is an important health problem worldwide. In this paper, we
introduce an improved HBV model with standard incidence function and cytokine-mediated …

[PDF][PDF] Global stability of HIV infection models with intracellular delays

A Elaiw, I Hassanien, S Azoz - Journal of the Korean Mathematical …, 2012 - researchgate.net
In this paper, we study the global stability of two mathematical models for human
immunodeficiency virus (HIV) infection with intracellular delays. The first model is a 5 …

Global stability for an HIV-1 infection model with Beddington–DeAngelis incidence rate and CTL immune response

C Lv, L Huang, Z Yuan - … in Nonlinear Science and Numerical Simulation, 2014 - Elsevier
In this paper, an HIV-1 infection model with Beddington–DeAngelis incidence rate and CTL
immune response is investigated. One main feature of this model is that an eclipse stage for …

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 …

Stability of general virus dynamics models with both cellular and viral infections and delays

AM Elaiw, AA Raezah - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
We consider general virus dynamics model with virus‐to‐target and infected‐to‐target
infections. The model is incorporated by intracellular discrete or distributed time delays. We …

A fractal fractional model for computer virus dynamics

A Akgül, U Fatima, MS Iqbal, N Ahmed, A Raza… - Chaos, Solitons & …, 2021 - Elsevier
The gist behind this study is to extend the classical computer virus model into fractal
fractional model and subsequently to solve the model by Atangana-Toufik method. This …