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

AIMS Mathematics 2026 Open access

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Authors: Weibo Lin, Lu Xu
DOI: 10.3934/math.2026176
Cited by: 1
References: 28

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.

Fields of Study & Subjects

Mathematical and Theoretical Epidemiology and Ecology Models Mathematical Biology Tumor Growth Distributed Control Multi-Agent Systems

Publication details

Journal / source
AIMS Mathematics
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
11
Issue
2
Pages
4395–4414
Publication date
1 January 2026