Delayed hepatitis B epidemic model with stochastic analysis
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 …
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 …
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 …
(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
This paper investigates the global stability of virus dynamics model with Beddington–
DeAngelis infection rate. By constructing Lyapunov functions, the global properties have …
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; …
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 …
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
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 …
with Beddington–DeAngelis functional response are investigated. Lyapunov functions are …
Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
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 …
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 …
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 …
delay accounting for the time between viral entry into a target cell and the production of new …