Hopf Bifurcation Analysis of A Economic System with Two Time Delays and Diffusion Based on Macro−Control

In this paper, we propose a economic model with two time delays and diffusion based on macro−control and study its related dynamics. We mainly analyze the equilibrium stability of the system and the existence of Hopf bifurcation. The results show that Hopf bifurcation will occur when the hysteresis parameter exceeds the critical value. Finally, the main results are illustrated by numerical simulation.