Scholarlink

<p>In this paper, we consider the global dynamics of a HBV infection model with degenerate diffusion, DNA-containing capsids and time-delays in heterogeneous environment. Since only the free virus equation contains a diffusion term, the model is partially degenerate, which makes that the solution semiflow lacks compactness. In addition, different to early works, the consideration of time-delay effect increases the difficulty in studying the dynamics of the model. To overcome these difficulties, we regard the model as a one-periodic system. Then, apply the method of Kuratowski’s measure of non-compactness, we establish the global threshold dynamics of the system, which can be characterized by the value of basic reproduction number <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal {R}_0\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation>. In addition, we establish the global asymptotic stability of infection-free steady state when <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal {R}_0=1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> <mo>=</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>, and find that <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathcal {R}_0\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation> is decreasing with respect to the three time delay terms. We further provide some examples to support our theoretical results.</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

Threshold dynamics of a HBV infection model with degenerate diffusion, DNA-containing capsids and time-delays in heterogeneous environment

  • 期刊论文

  • 发表日期：

    2026年4月29日

查看全文
  • Yu Yang,
  • Lan Zou,
  • Cheng-Hsiung Hsu

摘要

In this paper, we consider the global dynamics of a HBV infection model with degenerate diffusion, DNA-containing capsids and time-delays in heterogeneous environment. Since only the free virus equation contains a diffusion term, the model is partially degenerate, which makes that the solution semiflow lacks compactness. In addition, different to early works, the consideration of time-delay effect increases the difficulty in studying the dynamics of the model. To overcome these difficulties, we regard the model as a one-periodic system. Then, apply the method of Kuratowski’s measure of non-compactness, we establish the global threshold dynamics of the system, which can be characterized by the value of basic reproduction number \(\mathcal {R}_0\) R 0 . In addition, we establish the global asymptotic stability of infection-free steady state when \(\mathcal {R}_0=1\) R 0 = 1 , and find that \(\mathcal {R}_0\) R 0 is decreasing with respect to the three time delay terms. We further provide some examples to support our theoretical results.