Hopf Bifurcation Analysis for the Modified Rayleigh Price Model with Time Delay
Joint Authors
Ma, Xiaona
Xiong, Ying
Zhai, Yanhui
Bai, Haiyun
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-13
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper mainly modifies and further develops the Reyleigh price model.
By modifying the basic Reyleigh model, we can more accurately illustrate the economic phenomena with price varying.
First, we research the dynamics of the modified Reyleigh model with time delay.
By employing the normal form theory and center manifold theory, we obtain some testable results on these issues.
The conclusion confirms that a Hopf bifurcation occurs due to the existence of stability switches when the delay varies.
Finally, some numerical simulations are given to illustrate the effectiveness of our results.
American Psychological Association (APA)
Zhai, Yanhui& Bai, Haiyun& Xiong, Ying& Ma, Xiaona. 2013. Hopf Bifurcation Analysis for the Modified Rayleigh Price Model with Time Delay. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-460756
Modern Language Association (MLA)
Zhai, Yanhui…[et al.]. Hopf Bifurcation Analysis for the Modified Rayleigh Price Model with Time Delay. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-460756
American Medical Association (AMA)
Zhai, Yanhui& Bai, Haiyun& Xiong, Ying& Ma, Xiaona. Hopf Bifurcation Analysis for the Modified Rayleigh Price Model with Time Delay. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-460756
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460756