On the periodic solutions of periodic multi-species Kolmogorov type competitive system with delays and feedback controls

In this paper, we consider a periodic multi-species Kolmogorov type competitive system with delays and feedback controls. Applying Schauder's fixed point theorem, a criterion on the existence of the positive periodic solution of the system are obtained. As application, the existence of the positive periodic solution of a kind of nonlinear competitive model with delays and feedback controls is discussed.