Scholarlink

<p>In this paper, we examine a novel SEIVS epidemiological model involving an incubation period and temporary immunity. The dynamics of the model is characterized by the threshold behavior determined by the control reproduction number&#xa0;<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(R_c\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mi>c</mi> </msub> </math></EquationSource> </InlineEquation>. The existence and uniqueness of the endemic equilibrium are rigorously proved; this implies that an endemic state arises if and only if <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(R_c&gt;1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>R</mi> <mi>c</mi> </msub> <mo>&gt;</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>. The local asymptotic stability of this equilibrium is established by analyzing the Jacobian matrix and the Routh–Hurwitz criterion. Theorems on sufficient and necessary conditions for the stability of solutions are proved.</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

STABILITY ANALYSIS OF A NONLINEAR EPIDEMIOLOGICAL MODEL WITH INCUBATION AND TEMPORARY IMMUNITY

  • 期刊论文

  • 发表日期：

    2026年2月1日

查看全文
  • D. A. Gabidullin

摘要

In this paper, we examine a novel SEIVS epidemiological model involving an incubation period and temporary immunity. The dynamics of the model is characterized by the threshold behavior determined by the control reproduction number  \(R_c\) R c . The existence and uniqueness of the endemic equilibrium are rigorously proved; this implies that an endemic state arises if and only if \(R_c>1\) R c > 1 . The local asymptotic stability of this equilibrium is established by analyzing the Jacobian matrix and the Routh–Hurwitz criterion. Theorems on sufficient and necessary conditions for the stability of solutions are proved.