Dynamic Analysis of the Project Investment Model with Time Delay and Density Constraints

The purpose of research, invention, and production is to effectively supply demand, which requires not only financial support but also time complete. First, the differential dynamic model among funds, research (including invention production) with delay constructed by using predator-prey theory. Second, sufficiency local asymptotic stability positive equilibrium point obtained Hopf bifurcation theory Then, formulas for determining direction periodic solution are calculated central manifold normative Finally, evolution process controlled numerically simulated so as verify correctness relevant analytical conclusions.