New results on competition and cooperation model of two enterprises with multiple delays and feedback controls

Abstract

Abstract In this paper, we put up and study a competition and cooperation model of two enterprises with multiple delays and feedback controls. A set of sufficient conditions which ensure the existence of periodic solution of the two-enterprise competition and cooperation model with multiple delays and feedback controls are established by applying the fixed point theorem of strict-set-contraction. An example is given to check the obtained theoretical findings. The derived results are completely new and complement earlier publications.

Keywords

• Competition and cooperation model
• Periodic solution
• Two-enterprise
• Feedback control
• Delay