STABILITY ANALYSIS OF AN ENTERPRISE COMPETITIVE MODEL WITH TIME DELAY

Shumin Li; Xiaofen Tan

doi:10.11948/2016045

2016 Volume 6 Issue 3

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Shumin Li, Xiaofen Tan. STABILITY ANALYSIS OF AN ENTERPRISE COMPETITIVE MODEL WITH TIME DELAY[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 684-698. doi: 10.11948/2016045

Citation:

Shumin Li, Xiaofen Tan. STABILITY ANALYSIS OF AN ENTERPRISE COMPETITIVE MODEL WITH TIME DELAY[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 684-698. doi: 10.11948/2016045

STABILITY ANALYSIS OF AN ENTERPRISE COMPETITIVE MODEL WITH TIME DELAY

Shumin Li^1,2,
Xiaofen Tan¹

1 Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming Yunnan, 650500, P. R. China;
2 Oxbridge College, Kunming University of Science and Technology, Kunming Yunnan, 650106, P. R. China

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Abstract

Abstract

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.
- Hopf bifurcation /
- stability /
- delay /
- enterprise competitive model /
- periodic solutions
MSC: 37N40;93D20

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References

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