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具有间接信号产生的两竞争种群趋化模型中整体有界性条件的改进

滕文懿 苗亮英

应用数学2026,Vol.39Issue(2):457-465,9.
应用数学2026,Vol.39Issue(2):457-465,9.

具有间接信号产生的两竞争种群趋化模型中整体有界性条件的改进

Improvement of Conditions for Global Boundedness in a Two-Competing-Species Chemotaxis Model with Indirect Signal Production

滕文懿 1苗亮英1

作者信息

  • 1. 青海民族大学数学与统计学院,青海西宁 810007
  • 折叠

摘要

Abstract

This paper deals with the global boundedness of a two-competing-species chemotaxis model with indirect signal production in a three-dimensional bounded do-main.The current work extends prior results by ZHENG et al.(2022)who established global existence and boundedness of classical solution under the parameter constraintsμ1μ2a2 ≥ x1(4+μ22a22),μ1μ2a1 ≥ x2(4+μ21a21).Our main contribution demonstrates that these technical conditions can be significantly relaxed to μ1 ≥ 5x1,μ2 ≥ 5x2,thereby expanding the admissible parameter space for solution boundedness.

关键词

两竞争种群/趋化/间接信号产生/一致有界性

Key words

Two-competing-species/Chemotaxis/Indirect signal production/Uniform boundedness

分类

数理科学

引用本文复制引用

滕文懿,苗亮英..具有间接信号产生的两竞争种群趋化模型中整体有界性条件的改进[J].应用数学,2026,39(2):457-465,9.

基金项目

Supported by the National Natural Science Foundation of China(12301631)and the Natural Science Foundation of Qinghai Province(2023-ZJ-949Q) (12301631)

应用数学

1001-9847

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