scholarly journals Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection

2010 ◽  
Vol 23 (6) ◽  
pp. 1221-1230 ◽  
Author(s):  
Yu Zheng ◽  
Lequan Min ◽  
Yu Ji ◽  
Yongmei Su ◽  
Yang Kuang
Keyword(s):  
Virus Infection ◽  
Global Stability ◽  
Equilibrium Point ◽  
Endemic Equilibrium ◽  
Hbv Infection ◽  
Infection Model ◽  
Virus Infection Model

scholarly journals Global Stability of a Virus Infection Model with Time Delay and Absorption

2011 ◽  
Vol 2011 ◽  
pp. 1-20
Author(s):  
Xiaohong Tian ◽  
Rui Xu
Keyword(s):  
Time Delay ◽  
Virus Infection ◽  
Global Stability ◽  
Sufficient Conditions ◽  
Infection Model ◽  
Basic Reproduction Ratio ◽  
Globally Asymptotically Stable ◽  
Reproduction Ratio ◽  
Comparison Arguments ◽  
Virus Infection Model

In this paper, a virus infection model with time delay and absorption is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is established. By using comparison arguments, it is shown that the infection free equilibrium is globally asymptotically stable when the basic reproduction ratio is less than unity. When the basic reproduction ratio is greater than unity, sufficient conditions are derived for the global stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoretical results.

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