Scholarlink

<p>Analyzing disease transmission dynamics is crucial for epidemic prevention and control. This paper introduces a Caputo fractional-order SEIHR model incorporating a generalized incidence rate. This model refines the progression of the disease through exposed, infected, and hospitalized stages, with the objective of evaluating the impact of integrating control strategies on disease transmission. This paper first examines the properties of the solutions of the model, and subsequently determines the basic reproduction number and solves for the equilibria. Then, near the equilibria, the paper analyzes the asymptotic behavior of the model from both local and global perspectives. Furthermore, by introducing control variables, optimal control strategies that are both efficient and cost-effective are formulated. Finally, numerical simulations validate the effectiveness of the model and the role of the proposed strategies in suppressing the disease. The results indicate that control measures effectively reduce the number of infected individuals and peak values, thereby providing perspectives for designing strategies for preventing and managing the spread of infectious diseases.</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

Global dynamic analysis and optimal control of a fractional-order SEIHR model with a general incidence rate

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年4月10日

查看全文
  • Wanqin Wu,
  • Jianwen Zhou,
  • Juhui Yan,
  • Xuewen Tan

摘要

Analyzing disease transmission dynamics is crucial for epidemic prevention and control. This paper introduces a Caputo fractional-order SEIHR model incorporating a generalized incidence rate. This model refines the progression of the disease through exposed, infected, and hospitalized stages, with the objective of evaluating the impact of integrating control strategies on disease transmission. This paper first examines the properties of the solutions of the model, and subsequently determines the basic reproduction number and solves for the equilibria. Then, near the equilibria, the paper analyzes the asymptotic behavior of the model from both local and global perspectives. Furthermore, by introducing control variables, optimal control strategies that are both efficient and cost-effective are formulated. Finally, numerical simulations validate the effectiveness of the model and the role of the proposed strategies in suppressing the disease. The results indicate that control measures effectively reduce the number of infected individuals and peak values, thereby providing perspectives for designing strategies for preventing and managing the spread of infectious diseases.