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Research Article | Open Access

Boundedness and asymptotic behavior of a prey-taxis model with modified Leslie-Gower and hunting cooperation

Weibo Lin1, Lu Xu1,2( )
College of Mathematics and Statistics, Yili Normal University, Yining 835000, China
Institute of Applied Mathematics, Yili Normal University, Yining 835000, China
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Abstract

This work investigated the dynamics of a prey-taxis model with modified Leslie-Gower and hunting cooperation. Using energy estimates combined with a newly developed weighted technique, we proved that solutions remain globally bounded in both two or higher dimensions, provided the prey-taxis coefficient is sufficiently small. Furthermore, by constructing a suitable Lyapunov functional, we analyzed the large-time behavior of solutions under some conditions.

Keywords

Leslie-Gowerhunting cooperationboundednesslarge time behavior
CLC number: 35A01, 35B35, 35K57, 92C17

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AIMS Mathematics
Volume 11 Issue 2,
February 2026
Pages 4395-4414
DOI: 10.3934/math.2026176

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Cite this article:
Lin W, Xu L. Boundedness and asymptotic behavior of a prey-taxis model with modified Leslie-Gower and hunting cooperation. AIMS Mathematics, 2026, 11(2): 4395-4414. https://doi.org/10.3934/math.2026176

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Received: 22 December 2025
Revised: 19 January 2026
Accepted: 27 January 2026
Published: 12 February 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)