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2014 Local Hopf Bifurcation in a Competitive Model of Market Structure with Consumptive Delays
Xuhui Li
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/852025

Abstract

A competitive model of market structure with consumptive delays is considered. The local stability of the positive equilibrium and the existence of local Hopf bifurcation are investigated by analyzing the distribution of the roots of the associated characteristic equation. The explicit formulas determining the stability and other properties of bifurcating periodic solutions are derived by using normal form theory and center manifold argument. Finally, numerical simulations are given to support the analytical results.

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Xuhui Li. "Local Hopf Bifurcation in a Competitive Model of Market Structure with Consumptive Delays." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/852025

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131923
MathSciNet: MR3208638
Digital Object Identifier: 10.1155/2014/852025

Rights: Copyright © 2014 Hindawi

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