Almost periodic solutions for a competition and cooperation model of two enterprises with time-varying delays and feedback controls

作者：Xu, Changjin^*; Li, Peiluan

来源：Journal of Applied Mathematics and Computing, 2017, 53(1-2): 397-411.

DOI：10.1007/s12190-015-0974-7

• Competition and cooperation model
• Almost periodic solution
• Stability
• eedback control
• Enterprise
• Delay

In this paper, we propose and deal with a competition and cooperation model of two enterprises with time-varying delays and feedback controls, which can effectively describe the competition and cooperation of two enterprises in real economic environments. With the help of the comparison theorem of differential equations and by constructing a suitable Lyapunov functional, some sufficient conditions which guarantee the existence of a unique globally asymptotically stable nonnegative almost periodic solution of the system are established. We present an example to explain the economical significance of mathematical results. The paper ends with brief conclusions.

• 出版日期2017-2
• 单位贵州财经大学; 河南大学