Hopf Bifurcation Control Analysis of a Goodwin Model with Time Delay in Leakage Terms

In this paper, the Goodwin model with time delay in leakage terms is investigated. By using some mathematical knowledge and analyzing the characteristic equations corresponding to the research system, the local stability of the Goodwin model and the existence of Hopf bifurcation are gained. The leakage time delay is chosen as the bifurcation parameter. We can gain that the bifurcation condition for the Goodwin networks. At last, we carry out some experiment simulations to verify our outcomes.