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
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)