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Direction and Stability of Hopf Bifurcation in a Delayed Solow Model with Labor Demand
Joint Authors
ElFadily, Sanaa
Kaddar, Abdelilah
Najib, Khalid
Source
International Journal of Differential Equations
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
This paper is concerned with a delayed model of mutual interactions between the economically active population and the economic growth.
The main purpose is to investigate the direction and stability of the bifurcating branch resulting from the increase of delay.
By using a second order approximation of the center manifold, we compute the first Lyapunov coefficient for Hopf bifurcation points and we show that the system under consideration can undergo a supercritical or subcritical Hopf bifurcation and the bifurcating periodic solution is stable or unstable in a neighborhood of some bifurcation points, depending on the choice of parameters.
American Psychological Association (APA)
ElFadily, Sanaa& Kaddar, Abdelilah& Najib, Khalid. 2019. Direction and Stability of Hopf Bifurcation in a Delayed Solow Model with Labor Demand. International Journal of Differential Equations،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1159212
Modern Language Association (MLA)
ElFadily, Sanaa…[et al.]. Direction and Stability of Hopf Bifurcation in a Delayed Solow Model with Labor Demand. International Journal of Differential Equations No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1159212
American Medical Association (AMA)
ElFadily, Sanaa& Kaddar, Abdelilah& Najib, Khalid. Direction and Stability of Hopf Bifurcation in a Delayed Solow Model with Labor Demand. International Journal of Differential Equations. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1159212
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1159212