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 …

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 …

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 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 …

Stability of a general CTL-mediated immunity HIV infection model with silent infected cell-to-cell spread

AM Elaiw, NH Alshamrani - Advances in Difference Equations, 2020 - Springer
This paper proposes and analyzes a CTL-mediated HIV infection model. The model
describes the interaction between healthy CD4+ T cells, silent infected cells, active infected …

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 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 stability of a delayed adaptive immunity viral infection with two routes of infection and multi-stages of infected cells

AM Elaiw, NH AlShamrani - Communications in Nonlinear Science and …, 2020 - Elsevier
This paper proposes and analyzes a viral infection model that characterizes the interactions
of the viruses, susceptible host cells, n-stages of infected cells, B cells and CTL cells. We …

Global stability of delay‐distributed viral infection model with two modes of viral transmission and B‐cell impairment

AM Elaiw, SF Alshehaiween - Mathematical Methods in the …, 2020 - Wiley Online Library
This paper formulates a virus dynamics model with impairment of B‐cell functions. The
model incorporates two modes of viral transmission: cell‐free and cell‐to‐cell. The cell‐free …