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 …

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 …

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 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 …

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 …

Stability analysis of a general discrete-time pathogen infection model with humoral immunity

AM Elaiw, MA Alshaikh - Journal of Difference Equations and …, 2019 - Taylor & Francis
This paper studies the global stability of a discrete-time pathogen infection model with
humoral immunity. The incidence rate of infection as well as the production and clearance …

Stability of delayed pathogen dynamics models with latency and two routes of infection

AD Hobiny, AM Elaiw, AA Almatrafi - Advances in Difference Equations, 2018 - Springer
We consider a pathogen dynamics model with antibodies and both pathogen-to-susceptible
and infected-to-susceptible transmissions. We consider two types of infected cells, latently …

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 …

Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection

P Dubey, US Dubey, B Dubey - Mathematics and Computers in Simulation, 2018 - Elsevier
This paper deals with the study of a virus dynamics model in order to get better insights into
HIV infection within the body. The model incorporates therapeutic modalities such as …

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 …