Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth

2009 ◽  
Vol 60 (4) ◽  
pp. 573-590 ◽  
Author(s):  
Sarah Hews ◽  
Steffen Eikenberry ◽  
John D. Nagy ◽  
Yang Kuang
Keyword(s):  
Hepatitis B ◽  
Viral Infection ◽  
Infection Model ◽  
Hepatitis B Viral Infection ◽  
Hepatocyte Growth ◽  
Viral Infection Model

Analysis of a hepatitis B viral infection model with immune response delay

2017 ◽  
Vol 10 (02) ◽  
pp. 1750020 ◽  
Author(s):  
Jianhua Pang ◽  
Jing-An Cui
Keyword(s):  
Immune Response ◽  
Time Delay ◽  
Hepatitis B ◽  
Viral Infection ◽  
Endemic Equilibrium ◽  
Infection Model ◽  
Response Delay ◽  
The Stability ◽  
Hepatitis B Viral Infection ◽  
Viral Infection Model

In this paper, a hepatitis B viral infection model with a density-dependent proliferation rate of cytotoxic T lymphocyte (CTL) cells and immune response delay is investigated. By analyzing the model, we show that the virus-free equilibrium is globally asymptotically stable, if the basic reproductive ratio is less than one and an endemic equilibrium exists if the basic reproductive ratio is greater than one. By using the stability switches criterion in the delay-differential system with delay-dependent parameters, we present that the stability of endemic equilibrium changes and eventually become stable as time delay increases. This means majority of hepatitis B infection would eventually become a chronic infection due to the immune response time delay is fairly long. Numerical simulations are carried out to explain the mathematical conclusions and biological implications.

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