Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales

Abstract

This paper aims to study a class of enterprise cluster models with feedback controls and time-varying delays on time scales. Based on periodic time scales theory and the fixed point theorem of strict-set-contraction, some new sufficient conditions for the existence of positive periodic solutions are obtained. Finally, two examples are presented to verify the validity and applicability of the main results in this paper.

Keywords

• positive periodic solution
• existence
• time scales
• enterprise cluster model