Global boundedness in a three-species system with indirect prey-taxis

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-08-31 DOI:10.1016/j.aml.2025.109738

Qigang Deng, Ali Rehman, Ranchao Wu

引用次数: 0

Abstract

It is showed that a fully parabolic three-species predator–prey model with indirect prey-taxis in a bounded domain has a globally bounded classical solution, which means the solution will not blow up. The results extend the previous ones in Zheng and Wan (2025). In the high-dimensional setting, conditions on parameters are further relaxed.

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具有间接掠食性的三物种系统的全局有界性

证明了在有界区域上具有间接猎物趋向性的全抛物型三种捕食者-猎物模型具有全局有界经典解，即解不会爆炸。结果扩展了郑、万（2025）的研究成果。在高维环境下，参数条件进一步放宽。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.