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; Li Wang; Hui Zhang; Suying Liu

doi:10.3934/math.2022055

AIMS Mathematics

2022, Volume 7, Issue 1: 925-938. doi: 10.3934/math.2022055

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

School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China

Received: 13 April 2021 Accepted: 15 September 2021 Published: 19 October 2021
MSC : 34C23, 34C25, 92D25

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.
- Mawhin's continuation theorem,
- almost periodic solution,
- impulsive differential equation,
- Lotka-Volterra system
Citation: Li Wang, Hui Zhang, Suying Liu. On the existence of almost periodic solutions of impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms[J]. AIMS Mathematics, 2022, 7(1): 925-938. doi: 10.3934/math.2022055

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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.

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