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; …
Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
The goal of this paper is to study the threshold dynamics of an HIV-1 viral infection model
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …
Globally asymptotic stability analysis for genetic regulatory networks with mixed delays: an M-matrix-based approach
X Zhang, L Wu, J Zou - IEEE/ACM Transactions on …, 2015 - ieeexplore.ieee.org
This paper deals with the problem of globally asymptotic stability for nonnegative equilibrium
points of genetic regulatory networks (GRNs) with mixed delays (ie, time-varying discrete …
points of genetic regulatory networks (GRNs) with mixed delays (ie, time-varying discrete …
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 …
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 …
the interactions of the viruses, susceptible host cells, n‐stages of infected cells, B cells and …
Finite-time stability analysis of reaction-diffusion genetic regulatory networks with time-varying delays
X Fan, X Zhang, L Wu, M Shi - IEEE/ACM transactions on …, 2016 - ieeexplore.ieee.org
This paper is concerned with the finite-time stability problem of the delayed genetic
regulatory networks (GRNs) with reaction-diffusion terms under Dirichlet boundary …
regulatory networks (GRNs) with reaction-diffusion terms under Dirichlet boundary …
[HTML][HTML] Dynamics of a diffusive virus model with general incidence function, cell-to-cell transmission and time delay
H Sun, J Wang - Computers & Mathematics with Applications, 2019 - Elsevier
In this paper, we revisit a diffusive virus dynamics model with general incidence function and
time delay. One novelty of our model is that we introduce cell-to-cell transmission via …
time delay. One novelty of our model is that we introduce cell-to-cell transmission via …
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 …
of the viruses, susceptible host cells, n-stages of infected cells, B cells and CTL cells. We …
Asymptotic stability criteria for genetic regulatory networks with time-varying delays and reaction–diffusion terms
Y Han, X Zhang, Y Wang - Circuits, Systems, and Signal Processing, 2015 - Springer
This paper investigates the asymptotic stability problem for delayed genetic regulatory
networks with reaction–diffusion terms under both Dirichlet boundary conditions and …
networks with reaction–diffusion terms under both Dirichlet boundary conditions and …
Dynamics of an HBV/HCV infection model with intracellular delay and cell proliferation
F Zhang, J Li, C Zheng, L Wang - Communications in Nonlinear Science …, 2017 - Elsevier
A new mathematical model of hepatitis B/C virus (HBV/HCV) infection which incorporates
the proliferation of healthy hepatocyte cells and the latent period of infected hepatocyte cells …
the proliferation of healthy hepatocyte cells and the latent period of infected hepatocyte cells …