STABILITY ANALYSIS OF AN ENTERPRISE COMPETITIVE MODEL WITH TIME DELAY | Zendy

Shumin Li | Zendy; Xiaofen Tan | Zendy

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STABILITY ANALYSIS OF AN ENTERPRISE COMPETITIVE MODEL WITH TIME DELAY

Author(s) -

Shumin Li,

Xiaofen Tan

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016045

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

A three-dimensional enterprise competitive model with time delay is considered. Where the delay is regarded as bifurcation parameters. By analyzing the corresponding characteristic equation of positive equilibrium,the local stability of positive equilibrium is regarded. By using the normal form method and center manifold theorem, we give the formula for determining the direction of the Hopf bifurcation and the stability of bifurcating periodic solutions. Numerical simulations are shown to illustrate the obtained results.

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