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

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ID: 10521
2019
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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.
Reference Key
sanaa2019directioninternational Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ElFadily, Sanaa;Kaddar, Abdelilah;Najib, Khalid;ElFadily, Sanaa;Kaddar, Abdelilah;Najib, Khalid;
Journal international journal of differential equations
Year 2019
DOI
10.1155/2019/7609828
URL
https://www.hindawi.com/journals/ijde/2019/7609828/abs/
Keywords Keywords not found

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