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OA

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.