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; …

Global properties of a class of HIV infection models with Beddington–DeAngelis functional response

AM Elaiw, SA Azoz - Mathematical Methods in the Applied …, 2013 - Wiley Online Library
In this paper, the global properties of a class of human immunodeficiency virus (HIV) models
with Beddington–DeAngelis functional response are investigated. Lyapunov functions are …

[HTML][HTML] Global analysis of within-host SARS-CoV-2/HIV coinfection model with latency

AM Elaiw, AD Al Agha, SA Azoz… - The European Physical …, 2022 - Springer
Abstract The coronavirus disease 2019 (COVID-19) is a respiratory disease caused by a
virus called the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). In this …

Global dynamics of a mathematical model for HTLV-I infection of CD4+ T cells with delayed CTL response

MY Li, H Shu - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
Human T-cell leukaemia virus type I (HTLV-I) preferentially infects the CD4+ T cells. The
HTLV-I infection causes a strong HTLV-I specific immune response from CD8+ cytotoxic T …

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 …

Global dynamics of reaction-diffusion oncolytic M1 virotherapy with immune response

AM Elaiw, AD Hobiny, AD Al Agha - Applied Mathematics and Computation, 2020 - Elsevier
Oncolytic virotherapy is a promising cancer treatment that uses replication-competent
viruses to target and kill tumor cells. Oncolytic alphavirus M1 is a naturally occurring virus …

[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 …

Dynamics of a diffusive HBV model with delayed Beddington–DeAngelis response

Y Zhang, Z Xu - Nonlinear Analysis: Real World Applications, 2014 - Elsevier
The purpose of this paper is to study the dynamics of a diffusive HBV model with delayed
Beddington–DeAngelis response. First, we analyze the well-posedness of the initial value …

Global properties of a class of virus infection models with multitarget cells

AM Elaiw - Nonlinear Dynamics, 2012 - Springer
In this paper, we propose a class of virus infection models with multitarget cells and study
their global properties. We first study three models with specific forms of incidence rate …

Analysis of a delayed and diffusive oncolytic M1 virotherapy model with immune response

AM Elaiw, AD Al Agha - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
Oncolytic virotherapy (OVT) is a promising therapeutic approach that uses replication-
competent viruses to target and kill tumor cells. Alphavirus M1 is a selective oncolytic virus …