Delayed hepatitis B epidemic model with stochastic analysis

A Din, Y Li, A Yusuf - Chaos, Solitons & Fractals, 2021 - Elsevier
Environmental factors such as, humidity and temperature pose significant impacts on the
dynamics of hepatitis B virus (HBV). The stochastic modeling has been proved to be a …

Incorporating Intracellular Processes in Virus Dynamics Models

SM Ciupe, JM Conway - Microorganisms, 2024 - mdpi.com
In-host models have been essential for understanding the dynamics of virus infection inside
an infected individual. When used together with biological data, they provide insight into …

Global properties of a class of HIV models

AM Elaiw - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
In this paper, we study the global properties of a class of human immunodeficiency virus
(HIV) models. The basic model is a 5-dimensional nonlinear ODEs that describes the …

[HTML][HTML] Global properties for virus dynamics model with Beddington–DeAngelis functional response

G Huang, W Ma, Y Takeuchi - Applied Mathematics Letters, 2009 - Elsevier
This paper investigates the global stability of virus dynamics model with Beddington–
DeAngelis infection rate. By constructing Lyapunov functions, the global properties have …

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; …

Bifurcation analysis of a delayed stochastic HBV epidemic model: Cell-to-cell transmission

A Din - Chaos, Solitons & Fractals, 2024 - Elsevier
In the present study, we develop a model for hepatitis B virus (HBV) that integrates cell-to-
cell transmission of the virus, CTL immunological response, delay effects, and the effect of …

Global properties of a class of HIV infection models with Beddington–DeAngelis functional response

AM Elaiw, SA Azoz - Mathematical Methods in the Applied …, 2013 - Wiley Online Library
In this paper, the global properties of a class of human immunodeficiency virus (HIV) models
with Beddington–DeAngelis functional response are investigated. Lyapunov functions are …

Mathematical analysis of a virus dynamics model with general incidence rate and cure rate

K Hattaf, N Yousfi, A Tridane - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
The rate of infection in many virus dynamics models is assumed to be bilinear in the virus
and uninfected target cells. In this paper, the dynamical behavior of a virus dynamics model …

Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response

X Tian, R Xu - Applied Mathematics and Computation, 2014 - Elsevier
In this paper, an HIV-1 infection model with saturation incidence and time delay due to the
CTL immune response is investigated. By analyzing corresponding characteristic equations …

Global stability of an HIV-1 infection model with saturation infection and intracellular delay

R Xu - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
In this paper, an HIV-1 infection model with a saturation infection rate and an intracellular
delay accounting for the time between viral entry into a target cell and the production of new …