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Dynamics of Almost Periodic Solution for a Delayed Facultative Mutualism Model Involving Negative Feedback Terms

  • Li Yang EMAIL logo and Zunguang Guo
Published/Copyright: April 19, 2018

Abstract

By using some new analytical techniques, modified inequalities and Mawhin’s continuation theorem of coincidence degree theory, some sufficient conditions are obtained for the boundedness of the solution and the existence of at least one positive almost periodic solution of a kind of two-species model of facultative mutualism with time delays. Further, the global asymptotic stability of the positive almost periodic solution of this model is also considered. Some examples and numerical simulations are also given to illustrate the main results of this paper.

MSC 2010: 34K14; 34K20; 92D25

Acknowledgements:

This work is supported by Yunnan University of Finance and Economics Scientific Research Fund Project under Grant YC2015D09 and Yunnan Province Education Department Scientific Research Fund Project under Grant 2015Y275.

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Received: 2015-11-16
Accepted: 2016-12-29
Published Online: 2018-04-19
Published in Print: 2018-06-26

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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