The review of differential equation models of HBV infection dynamics

M Li, J Zu - Journal of virological methods, 2019 - Elsevier
Understanding the infection and pathogenesis mechanism of hepatitis B virus (HBV) is very
important for the prevention and treatment of hepatitis B. Mathematical models contribute to …

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; …

[HTML][HTML] 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 …

Global dynamics of delay‐distributed HIV infection models with differential drug efficacy in cocirculating target cells

AM Elaiw, NA Almuallem - Mathematical Methods in the …, 2016 - Wiley Online Library
In this paper, we investigate the dynamical behaviors of three human immunodeficiency
virus infection models with two types of cocirculating target cells and distributed intracellular …

Stationary distribution and extinction of a stochastic HLIV model with viral production and Ornstein–Uhlenbeck process

Q Liu - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
In the past few decades, the human immunodeficiency virus (HIV), as a deadly pathogen,
has imposed great harmful effects on human health. In addition, from the viewpoint of the …

[HTML][HTML] Analysis of general humoral immunity HIV dynamics model with HAART and distributed delays

AM Elaiw, EK Elnahary - Mathematics, 2019 - mdpi.com
This paper deals with the study of an HIV dynamics model with two target cells,
macrophages and CD4+ T cells and three categories of infected cells, short-lived, long-lived …

Global dynamics of SARS-CoV-2/cancer model with immune responses

AM Elaiw, AD Al Agha - Applied Mathematics and Computation, 2021 - Elsevier
The world is going through a critical period due to a new respiratory disease called
coronavirus disease 2019 (COVID-19). This disease is caused by severe acute respiratory …

Stability of a general adaptive immunity virus dynamics model with multistages of infected cells and two routes of infection

A Elaiw, N AlShamrani - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
This paper studies an (n+ 4)‐dimensional nonlinear virus dynamics model that characterizes
the interactions of the viruses, susceptible host cells, n‐stages of infected cells, B cells and …

New method to obtain periodic solutions of period two and three of a rational difference equation

EM Elsayed - Nonlinear Dynamics, 2015 - Springer
This paper aims to develop a new method to obtain periodic solutions with period two and
three of the following recursive sequence x_ n+ 1= α+ β x_n x_ n-1+ γ x_ n-1 x_n, xn+ 1= α+ …

[HTML][HTML] Global properties of a delay-distributed HIV dynamics model including impairment of B-cell functions

AM Elaiw, SF Alshehaiween, AD Hobiny - Mathematics, 2019 - mdpi.com
In this paper, we construct an Human immunodeficiency virus (HIV) dynamics model with
impairment of B-cell functions and the general incidence rate. We incorporate three types of …