用成本效益分析对乙型肝炎病毒感染进行分量最佳控制策略
Lemesa Bedjisa Dano1, Purnachandra Rao Koya2, Temesgen Duressa Keno2
1Department of Mathematics, Wollega University, Nekemte, Ethiopia. lemesabjsa@gmail.com.
Scientific reports
|November 9, 2023
概括
乙型肝炎可以通过疫苗接种和治疗来控制. 这项研究使用分数计算来分析最佳的控制策略,表明主动措施是预防乙型肝炎传播的关键.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 分数微积分的计算.
背景情况:
- 乙型肝炎是一种具有重大健康影响的全球性传染病.
- 传输发生在水平和垂直,需要有效的控制策略.
研究的目的:
- 进行敏感性分析并确定B型肝炎流行病模型的最佳控制策略.
- 为了研究和发病率的影响,使用卡普托分数导数.
主要方法:
- 开发和分析一个分数顺序的乙型肝炎流行病模型.
- 分数计算的应用在平衡点分析中.
- 使用分数计算和庞特里亚金的最大原则进行灵敏度分析,以获得最佳控制.
- 使用分数欧勒法进行数值模拟.
主要成果:
- 计算了灵敏度指数,并分析了它们对分数顺序的依赖性.
- 确定了疫苗接种和治疗的最佳控制策略.
- 通过数值模拟证明了控制措施的有效性.
结论:
- 通过及时采取预防措施,有效接种疫苗和治疗,可以预防乙型肝炎.
- 该研究提供了对控制策略的成本效益的见解.
- 分数计算为模拟和控制流行病动态提供了一种通用方法.
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