Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth

Abstract EN

This paper is devoted to the existence and stability analysis of limit cycles in a delayedmathematical model for the economy growth.

Specifically the Solow model is furtherimproved by inserting the time delay into the logistic population growth rate.

Moreover,by choosing the time delay as a bifurcation parameter, we prove that the system loses itsstability and a Hopf bifurcation occurs when time delay passes through critical values.

Finally, numerical simulations are carried out for supporting the analytical results.