Scholarlink

<p>In this paper, we prove the global boundedness and stability of an eco-epidemiological prey–predator model with prey-taxis and infectious diseases in a bounded domain <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Omega \subset \textrm{R}^N (N=1,2)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Ω</mi> <mo>⊂</mo> <msup> <mtext>R</mtext> <mi>N</mi> </msup> <mrow> <mo stretchy="false">(</mo> <mi>N</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> with smooth boundary and homogeneous Neumann boundary conditions. We first establish the global existence and boundedness of classical solutions to the problem for suitable initial data. Moreover, by constructing Lyapunov functionals, we establish the large-time behavior of solution.</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

The boundedness and dynamics of an eco-epidemiological model with prey-taxis

  • 期刊论文

  • 发表日期：

    2026年6月20日

查看全文
  • Ying-Yuan Mi,
  • Qiaoyu Tian

摘要

In this paper, we prove the global boundedness and stability of an eco-epidemiological prey–predator model with prey-taxis and infectious diseases in a bounded domain \(\Omega \subset \textrm{R}^N (N=1,2)\) Ω ⊂ R N ( N = 1 , 2 ) with smooth boundary and homogeneous Neumann boundary conditions. We first establish the global existence and boundedness of classical solutions to the problem for suitable initial data. Moreover, by constructing Lyapunov functionals, we establish the large-time behavior of solution.