一个多目标的最佳控制问题,用于传染病的动态,医疗保健设施和疫苗接种有限
1Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, Uttar Pradesh, 221005, India. akmisra_knp@yahoo.com.
Journal of mathematical biology
|January 9, 2026
概括
传染病的数学建模揭示了最佳的疫苗接种和住院策略. 和类型的成本函数对于管理干预和最大限度地减少疾病传播是最具成本效益的.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 公共卫生 公共卫生
背景情况:
- 传染病给全球健康和经济带来了重大挑战.
- 综合性疾病管理需要平衡医疗保健能力 (医院床位) 和疫苗接种活动.
- 了解疾病动态对于有效的公共卫生干预至关重要.
研究的目的:
- 用四维数学模型研究新出现的传染病的动态.
- 探索疫苗接种和医疗保健资源限制对疾病传播的影响.
- 为了获得最佳的控制策略,尽量减少感染和相关成本.
主要方法:
- 利用一个四维数学模型来模拟疾病的动态.
- 分析了局部分叉 (跨临界,结,Hopf,Bogdanov-Takens) 以了解传输的复杂性.
- 使用epsilon-constraint方法应用了多目标最佳控制方法,以找到帕雷托最佳前线.
主要成果:
- 通过分叉分析确定了疾病传播和控制的复杂动态.
- 巴雷托最佳前线分析揭示了不同疫苗接种和住院策略的有效性.
- 和型成本函数在管理干预资源方面表现出了成本效益.
结论:
- 数学建模为传染病控制策略提供了关键的见解.
- 优化疫苗接种和住院需要平衡疾病减少和干预成本.
- 和类型的成本函数为公共卫生干预中具有成本效益的资源管理提供了一种实际方法.
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