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

Xinchao Yang | Zendy; Xiju Zong | Zendy; Xingong Cheng | Zendy; Zhenlai Han | Zendy

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

Author(s) -

Xinchao Yang,

Xiju Zong,

Xingong Cheng,

Zhenlai Han

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/875783

Subject(s) - mathematics , center manifold , stability (learning theory) , bifurcation , hopf bifurcation , differential equation , mathematical analysis , pure mathematics , computer science , physics , quantum mechanics , nonlinear system , machine learning

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 someappropriated conditions. The existence of the Hopf bifurcation with delay τ 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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