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; …

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 …

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 …

Effect of cellular reservoirs and delays on the global dynamics of HIV

AM Elaiw, EK Elnahary, AA Raezah - Advances in Difference Equations, 2018 - Springer
We investigate general HIV infection models with three types of infected cells: latently
infected cells, long-lived productively infected cells, and short-lived productively infected …

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 …

Stability of a general delay‐distributed virus dynamics model with multi‐staged infected progression and immune response

AM Elaiw, NH Alshamrani - Mathematical Methods in the …, 2017 - Wiley Online Library
In this paper, we formulate a (n+ 3)‐dimensional nonlinear virus dynamics model that
considers n‐stages of the infected cells and n+ 1 distributed time delays. The model …

Stability of discrete-time HIV dynamics models with three categories of infected CD4+ T-cells

AM Elaiw, MA Alshaikh - Advances in Difference Equations, 2019 - Springer
This paper studies the global stability of two discrete-time HIV infection models. The models
integrate (i) latently infected cells,(ii) long-lived chronically infected cells and (iii) short-lived …

Global properties of a general latent pathogen dynamics model with delayed pathogenic and cellular infections

AM Elaiw, AA Almatrafi, AD Hobiny… - Discrete Dynamics in …, 2019 - Wiley Online Library
This paper studies the global dynamics of a general pathogenic infection model with two
ways of infections. The effect of antibody immune response is analyzed. We incorporate …

Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response

AM Ełaiw, AA Raezah, K Hattaf - International Journal of …, 2017 - World Scientific
This paper studies the dynamical behavior of an HIV-1 infection model with saturated virus-
target and infected-target incidences with Cytotoxic T Lymphocyte (CTL) immune response …