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

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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… Click to show full abstract

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.

Keywords: model two; cooperation model; competition cooperation; two enterprises

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017

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