Scholarlink

<p>This paper investigates the boundedness of solutions for a three-component chemotaxis model with weak singular sensitivity, which describes alopecia areata (AA), a noncontagious autoimmune disorder. The model captures the complex interactions among the CD<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(4^{+}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>4</mn> <mo>+</mo> </msup> </math></EquationSource> </InlineEquation> T cells, CD<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(8^{+}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>8</mn> <mo>+</mo> </msup> </math></EquationSource> </InlineEquation> T cells, and interferon-gamma (IFN-<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>γ</mi> </math></EquationSource> </InlineEquation>). By constructing appropriate energy functional and establishing a priori estimates, we prove that the model possesses a globally bounded classical solution under suitable conditions.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Boundedness in the higher-dimensional chemotaxis system for alopecia areata with weak singular sensitivity

  • 期刊论文

  • 发表日期：

    2026年7月31日

查看全文
  • Zhangsheng Zhu

摘要

This paper investigates the boundedness of solutions for a three-component chemotaxis model with weak singular sensitivity, which describes alopecia areata (AA), a noncontagious autoimmune disorder. The model captures the complex interactions among the CD \(4^{+}\) 4 + T cells, CD \(8^{+}\) 8 + T cells, and interferon-gamma (IFN- \(\gamma \) γ ). By constructing appropriate energy functional and establishing a priori estimates, we prove that the model possesses a globally bounded classical solution under suitable conditions.