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<p>In this paper, we study a predator-prey chemotaxis model with loop under homogeneous Neumann boundary conditions in a bounded smooth domain <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Omega \subset \mathbb {R}^3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Ω</mi> <mo>⊂</mo> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mn>3</mn> </msup> </mrow> </math></EquationSource> </InlineEquation>. Using semigroup techniques and gradient regularity estimates, we prove the existence of a unique globally bounded classical solution, provided the chemotactic sensitivity coefficients are sufficiently small.</p>

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Global boundedness in a predator-prey chemotaxis model with loop

  • 期刊论文

  • 发表日期：

    2026年4月19日

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  • Yerong Cheng,
  • Liangying Miao

摘要

In this paper, we study a predator-prey chemotaxis model with loop under homogeneous Neumann boundary conditions in a bounded smooth domain \(\Omega \subset \mathbb {R}^3\) Ω ⊂ R 3 . Using semigroup techniques and gradient regularity estimates, we prove the existence of a unique globally bounded classical solution, provided the chemotactic sensitivity coefficients are sufficiently small.