scholarly journals A note for the global stability of a delay differential equation of hepatitis B virus infection

2011 ◽  
Vol 8 (3) ◽  
pp. 689-694 ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-15
Author(s):  
Xinchao Yang ◽  
Xiju Zong ◽  
Xingong Cheng ◽  
Zhenlai Han

The stability and bifurcation analysis for a delay differential equation of hepatitis B virus infection is investigated. We show the existence of nonnegative equilibria under some appropriated conditions. The existence of the Hopf bifurcation with delayτat the endemic equilibria is established by analyzing the distribution of the characteristic values. The explicit formulae which determine the direction of the bifurcations, stability, and the other properties of the bifurcating periodic solutions are given by using the normal form theory and the center manifold theorem. Numerical simulation verifies the theoretical results.


2017 ◽  
Vol 55 (05) ◽  
pp. e1-e27
Author(s):  
H Karimzadeh ◽  
P Kurktschiev ◽  
D Scharafin ◽  
W Schraut ◽  
NH Grüner ◽  
...  

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