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Research Article | Open Access

Global boundedness of solutions to a quasilinear prey-taxis model with prey-stage structure

Ziyue Wei1, Guiling Wu2, Lu Xu3( )
College of Mathematics and Statistics, Yili Normal University, Yining 835000, China
General Education Centre, Quanzhou University of Information Engineering, Quanzhou 362000, China
Institute of Applied Mathematics, Yili Normal University, Yining 835000, China
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Abstract

This paper investigates the prey-stage structure within a quasilinear prey-taxis model defined in a smooth bounded domain in arbitrary-dimensional spaces. When the exponents of the nonlinear diffusion function and the nonlinear prey-taxis sensitivity function satisfy appropriate conditions, the global boundedness of the solution is established through the application of coupling estimation technique and Moser iteration.

Keywords

predator-preyprey-stageboundenessnonlinear diffusionnonlinear prey-taxis
CLC number: 35A01, 35K57, 35B44, 35K55, 92C17

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AIMS Mathematics
Volume 10 Issue 11,
November 2025
Pages 26613-26632
DOI: 10.3934/math.20251170

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Cite this article:
Wei Z, Wu G, Xu L. Global boundedness of solutions to a quasilinear prey-taxis model with prey-stage structure. AIMS Mathematics, 2025, 10(11): 26613-26632. https://doi.org/10.3934/math.20251170

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Received: 12 September 2025
Revised: 04 November 2025
Accepted: 10 November 2025
Published: 18 November 2025
©2025 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)