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Research Article | Open Access

A dynamic inequality with average condition and applications to predator-prey systems on time scales

Yang-Yang Yu1( ), Lin-Lin Wang2, Zhong-Xin Ma3
School of Mathematics and Statistics, Xuzhou University of Technology, 02 Lishui Rd., 221018 Xuzhou, China
School of Mathematics and Statistics Science, Ludong University, 186 Hongqi Middle Rd., 264025 Yantai, China
School of Science, Zhejiang University of Science & Technology, 318 Liuhe Rd., 310023 Hangzhou, China
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Abstract

In this paper, a dynamic inequality with average condition on time scales is established. Using this inequality, we study the uniform ultimate boundedness of solutions of two predator-prey systems on time scales. Our results extend and generalize some known results about these types of problems. We verify our main results by means of a numerical example.

Keywords

average conditiondynamic inequalityuniform ultimate boundednesstime scalepredator-prey system
CLC number: 34N05, 37N25

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AIMS Mathematics
Volume 11 Issue 3,
March 2026
Pages 5954-5965
DOI: 10.3934/math.2026246

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Cite this article:
Yu Y-Y, Wang L-L, Ma Z-X. A dynamic inequality with average condition and applications to predator-prey systems on time scales. AIMS Mathematics, 2026, 11(3): 5954-5965. https://doi.org/10.3934/math.2026246

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Received: 01 January 2026
Revised: 11 February 2026
Accepted: 04 March 2026
Published: 15 March 2026
©2026 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)