Journal of Advances in Applied Mathematics

Download PDF (655.7 KB) PP. 175 - 182 Pub. Date: July 12, 2016

DOI: 10.22606/jaam.2016.13004

• Sanaa ElFadily^*
  Mohammed V University in Rabat, Mohammadia School of engineering, Rabat, Morocco
• Abdelilah Kaddar
  Faculty of Juridical, Economic and Social Sciences of Salé, Mohammed V University in Rabat
• Khalid Najib
  Ecole Nationale Supérieure des Mines de Rabat

In this paper, we propose a model of mutual interactions between the economically active population and the economic growth. Our principal goal is to introduce a delayed equation of the active population evolution. The time delay, resulting from the recruitment processes, is incorporated in the effective labor demand. The dynamics are studied in terms of local stability and of the description of the Hopf bifurcation, is proven to exist as the delay (taken as a parameter of bifurcation) cross some critical value. Some numerical simulations are given to illustrate our theoretical results. Additionally we conclude with some remarks.

Solow model, Economic growth, Effective labor demand, Delayed differential equations, Stability, Hopf bifurcation.

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