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Articles

Stage-structured control on a class of predator-prey system in almost periodic environment

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Pages 1442-1460 | Received 18 Feb 2018, Accepted 13 Aug 2018, Published online: 03 Sep 2018
 

ABSTRACT

In this paper, we consider a kind of stage-structured predator-prey systems with two predators and general functional responses. By applying the comparison theorem, Lyapunov functional and Mawhin's continuation theorem of coincidence degree theory, this paper gives some new sufficient conditions for the uniform persistence, globally asymptotical stability and almost-periodic solutions for the above system. Two examples and numerical simulations are provided to illustrate the main results of this paper.

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

Acknowledgments

The authors are grateful to anonymous referees for their excellent suggestions, which greatly improve the presentation of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Research supported by Tian Yuan Fund of National Natural Science Foundation of China (No. 11526180) and Yunnan Province Education Department Scientific Research Fund Project (No. 2015Y275).

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