Title
Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection.
Abstract
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 delay.. at 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.
Year
DOI
Venue
2013
10.1155/2013/875783
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Explicit formulae,Mathematical optimization,Center manifold,Bifurcation diagram,Mathematical analysis,Transcritical bifurcation,Delay differential equation,Periodic graph (geometry),Mathematics,Saddle-node bifurcation,Hopf bifurcation
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
0
PageRank 
References 
Authors
0.34
1
4
Name
Order
Citations
PageRank
Xinchao Yang100.34
Xiju Zong202.37
Xingong Cheng302.03
Zhen-Lai Han4266.66