Dynamics Analysis of a Class of Delayed Economic Model
Joint Authors
Wen, Fenghua
Peng, Changlin
Huang, Chuangxia
Chen, Xiaohong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This investigation aims at developing a methodology to establish stability and bifurcation dynamics generated by a class of delayed economic model, whose state variable is described by the scalar delay differential equation of the form d2p(t)/dt2=−μδ(p(t))(dp(t)/dt)−μbp(t−τ1) −μ(a0p(t−τ2)/(a1+p(t−τ2)))+μ(d0−g0).
At appropriate parameter values, linear stability and Hopf bifurcation including its direction and stability of the economic model are obtained.
The main tools to obtain our results are the normal form method and the center manifold theory introduced by Hassard.
Simulations show that the theoretically predicted values are in excellent agreement with the numerically observed behavior.
Our results extend and complement some earlier publications.
American Psychological Association (APA)
Huang, Chuangxia& Peng, Changlin& Chen, Xiaohong& Wen, Fenghua. 2013. Dynamics Analysis of a Class of Delayed Economic Model. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-511803
Modern Language Association (MLA)
Huang, Chuangxia…[et al.]. Dynamics Analysis of a Class of Delayed Economic Model. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-511803
American Medical Association (AMA)
Huang, Chuangxia& Peng, Changlin& Chen, Xiaohong& Wen, Fenghua. Dynamics Analysis of a Class of Delayed Economic Model. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-511803
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511803