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Journal of Applied Mathematics and Computing

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24-12-2015 | Original Research

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

Authors: Changjin Xu, Peiluan Li

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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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.

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Title: Almost periodic solutions for a competition and cooperation model of two enterprises with time-varying delays and feedback controls
Authors: Changjin Xu
Peiluan Li
Publication date: 24-12-2015
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0974-7

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