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<p>This paper investigates the global boundedness of a two-competing-species chemotaxis model with indirect signal production. Through a multi-stage analysis involving <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation>-estimates, semigroup techniques, and gradient regularization, we demonstrate that the model admits a unique globally bounded classical solution in a three-dimensional bounded domain. This work significantly generalizes previous results by removing all parametric restrictions.</p>

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Global boundedness in a two-competing-species chemotaxis model with indirect signal production

  • 期刊论文

  • 发表日期：

    2025年9月19日

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  • Wenyi Teng,
  • Liangying Miao

摘要

This paper investigates the global boundedness of a two-competing-species chemotaxis model with indirect signal production. Through a multi-stage analysis involving \(L^p\) L p -estimates, semigroup techniques, and gradient regularization, we demonstrate that the model admits a unique globally bounded classical solution in a three-dimensional bounded domain. This work significantly generalizes previous results by removing all parametric restrictions.