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

Boundary Value Problems

卷:2019

Changjin Xu¹  Qimei Xiao²  Shuai Yuan³  Peiluan Li⁴ 

[1] Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics;

[2] Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering;

[3] School of Mathematics and Statistics, Central South University;

[4] School of Mathematics and Statistics, Henan University of Science and Technology;

关键词: Competition and cooperation model;    Periodic solution;    Two-enterprise;    Feedback control;    Delay;   

DOI  :  10.1186/s13661-019-1145-9

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown