We propose a comprehensive delayed HBV model, which not only considers the immune response to both infected cells and viruses and a time delay for the immune system to clear viruses but also incorporates an exposed state and the proliferation of hepatocytes. We prove the positivity and boundedness of solutions and analyze the global stability of two boundary equilibria and then study the local asymptotic stability and Hopf bifurcation of the positive (infection) equilibrium and also the stability of the bifurcating periodic solutions. Moreover, we illustrate how the factors such as the time delay, the immune response to infected cells and viruses, and the proliferation of hepatocytes affect the dynamics of the model by numerical simulation
In this paper, a delayed viral dynamical model that considers two different transmission methods of ...
We investigate the dynamical behavior of a delayed HIV infection model with general incidence rate a...
In this paper, we propose and investigate a fractional diffusive model for hepatitis B virus (HBV) i...
we investigated the intracellular delay effect on the stability of the endemically infected steady s...
ABSTRACT. Chronic HBV affects 350 million people and can lead to death through cirrhosis-induced liv...
We formulate and systematically study the global dynamics of a simple model of hepatitis B virus in ...
We formulate and systematically study the global dynamics of a simple model of hepatitis B virus in ...
AbstractA class of more general delayed viral infection model with lytic immune response is proposed...
A new mathematical model was proposed to study the effect of self-proliferation and delayed activati...
A hepatitis B virus infection model with time delay is discussed. By analyzing the corresponding cha...
A hepatitis B virus infection model with time delay is discussed. By analyzing the corresponding cha...
In this paper, a stochastic delayed model is constructed to describe chronic hepatitis B infection w...
In this paper, the dynamical behaviours for a five-dimensional virus infection model with three dela...
Chronic hepatitis B (HBV) infection is a major cause of human suffering, and a number of mathematica...
The stability and bifurcation analysis for a delay differential equation of hepatitis B virus infect...
In this paper, a delayed viral dynamical model that considers two different transmission methods of ...
We investigate the dynamical behavior of a delayed HIV infection model with general incidence rate a...
In this paper, we propose and investigate a fractional diffusive model for hepatitis B virus (HBV) i...
we investigated the intracellular delay effect on the stability of the endemically infected steady s...
ABSTRACT. Chronic HBV affects 350 million people and can lead to death through cirrhosis-induced liv...
We formulate and systematically study the global dynamics of a simple model of hepatitis B virus in ...
We formulate and systematically study the global dynamics of a simple model of hepatitis B virus in ...
AbstractA class of more general delayed viral infection model with lytic immune response is proposed...
A new mathematical model was proposed to study the effect of self-proliferation and delayed activati...
A hepatitis B virus infection model with time delay is discussed. By analyzing the corresponding cha...
A hepatitis B virus infection model with time delay is discussed. By analyzing the corresponding cha...
In this paper, a stochastic delayed model is constructed to describe chronic hepatitis B infection w...
In this paper, the dynamical behaviours for a five-dimensional virus infection model with three dela...
Chronic hepatitis B (HBV) infection is a major cause of human suffering, and a number of mathematica...
The stability and bifurcation analysis for a delay differential equation of hepatitis B virus infect...
In this paper, a delayed viral dynamical model that considers two different transmission methods of ...
We investigate the dynamical behavior of a delayed HIV infection model with general incidence rate a...
In this paper, we propose and investigate a fractional diffusive model for hepatitis B virus (HBV) i...