Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection

被引：1
|
作者：
Yang, Xinchao [1 ]
Zong, Xiju [2 ]
Cheng, Xingong [2 ]
Han, Zhenlai [3 ]
机构：
[1] Univ Jinan, Sch Med & Life Sci, Jinan 250022, Shandong, Peoples R China
[2] Univ Jinan, Sch Elect Engn, Jinan 250022, Shandong, Peoples R China
[3] Univ Jinan, Sch Sci, Jinan 250022, Shandong, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
基金：
中国国家自然科学基金;
关键词：
HOPF-BIFURCATION; GLOBAL STABILITY; NEURAL-NETWORK; MODEL;
D O I：
10.1155/2013/875783
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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收藏
页数：15
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