Scholarlink

This research presents a novel mathematical framework for analyzing the complex dynamics of a cholera epidemic using principles from fractional calculus. Our formulation incorporates a vaccination effect and various types of treatment and considers bacterial concentration dynamics. We propose a fractional optimal control strategy to address treatment via quarantine, which aims to minimize the number of infected individuals and bacterial concentration. We employ a forward-backward sweep iterative procedure to solve the fractional optimal control problem. Subsequently, we demonstrate the efficacy of our optimal control strategy through numerical experiments.

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

A Fractional Calculus Modeling Approach for the Optimal Control of a Disease Outbreak

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Amin Jajarmi,
  • Dumitru Baleanu

摘要

This research presents a novel mathematical framework for analyzing the complex dynamics of a cholera epidemic using principles from fractional calculus. Our formulation incorporates a vaccination effect and various types of treatment and considers bacterial concentration dynamics. We propose a fractional optimal control strategy to address treatment via quarantine, which aims to minimize the number of infected individuals and bacterial concentration. We employ a forward-backward sweep iterative procedure to solve the fractional optimal control problem. Subsequently, we demonstrate the efficacy of our optimal control strategy through numerical experiments.