International Journal of Differential Equations

Direction and Stability of Hopf Bifurcation in a Delayed Solow Model with Labor Demand

Sanaa ElFadily, Abdelilah Kaddar, and Khalid Najib

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Abstract

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.

Article information

Source
Int. J. Differ. Equ., Volume 2019 (2019), Article ID 7609828, 8 pages.

Dates
Received: 11 February 2019
Revised: 24 April 2019
Accepted: 8 May 2019
First available in Project Euclid: 24 July 2019

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1563933762

Digital Object Identifier
doi:10.1155/2019/7609828

Mathematical Reviews number (MathSciNet)
MR3963595

Citation

ElFadily, Sanaa; Kaddar, Abdelilah; Najib, Khalid. Direction and Stability of Hopf Bifurcation in a Delayed Solow Model with Labor Demand. Int. J. Differ. Equ. 2019 (2019), Article ID 7609828, 8 pages. doi:10.1155/2019/7609828. https://projecteuclid.org/euclid.ijde/1563933762


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