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Research Article | Open Access

On the existence of almost periodic solutions of impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms

Li Wang( ), Hui Zhang, Suying Liu
School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China
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Abstract

In this paper, by using the Mawhin's continuation theorem, some easily verifiable sufficient conditions are obtained to guarantee the existence of almost periodic solutions of impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms. Our result corrects the result obtained in [13]. An example and some remarks are given to illustrate the advantage of this paper.

Keywords

Mawhin's continuation theoremalmost periodic solutionimpulsive differential equationLotka-Volterra system
CLC number: 34C23, 34C25, 92D25

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AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 925-938
DOI: 10.3934/math.2022055

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Cite this article:
Wang L, Zhang H, Liu S. On the existence of almost periodic solutions of impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms. AIMS Mathematics, 2022, 7(1): 925-938. https://doi.org/10.3934/math.2022055

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Received: 13 April 2021
Accepted: 15 September 2021
Published: 15 January 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)