Local Hopf Bifurcation in a Competitive Model of Market Structure with Consumptive Delays
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Xuhui. 2014. Local Hopf Bifurcation in a Competitive Model of Market Structure with Consumptive Delays. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-503372
Modern Language Association (MLA)
Li, Xuhui. Local Hopf Bifurcation in a Competitive Model of Market Structure with Consumptive Delays. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-503372
American Medical Association (AMA)
Li, Xuhui. Local Hopf Bifurcation in a Competitive Model of Market Structure with Consumptive Delays. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-503372
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503372