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 …
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; …
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
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 …
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 …
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 …
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 …
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 …
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 …
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+ …
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 …
impairment of B-cell functions and the general incidence rate. We incorporate three types of …