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基于离散时间模糊规则等效模型的最佳干预政策,利用COVID-19流行病数据
1Department of Robotic and Advanced Manufacturing, CINVESTAV-IPN, No. 1062, Parque Industrial Ramos Arizpe, Ramos Arizpe, Coah., C.P. 25903 Mexico.
概括
这项研究使用模糊逻辑来模拟墨西哥科阿维拉的COVID-19大流行. 一个最佳的干预政策,包括疫苗接种和检测,可以在8周内根除病毒.
科学领域:
- 流行病学 流行病学
- 数学建模的数学建模
- 控制理论 控制理论
背景情况:
- 随着COVID-19的流行,人们面临着持续的公共卫生挑战.
- 准确的建模对于有效的流行病应对至关重要.
- 以前的模型可能无法完全捕捉现实世界的复杂性.
研究的目的:
- 为COVID-19流行病开发一个离散时间数学模型.
- 确定一项最佳的疫情控制干预政策.
- 分析干预措施对住院率的影响.
主要方法:
- 根据墨西哥科阿维拉的COVID-19数据 (2022年6月至10月) 构建了一个数学模型.
- 利用模拟网络的模糊规则,从日常住院数据中推导离散时间系统.
- 使用近似函数开发关闭循环系统性能保证的主要定理.
主要成果:
- 建议的干预政策,包括预防措施,检测和疫苗接种,可以在1-8周内根除大流行.
- 在前3周内实施该政策,确保住院人数低于容量.
- 模糊的基于规则的系统有效地模拟了流行病的动态.
结论:
- 综合干预策略在控制和潜在地消除COVID-19方面是有效的.
- 及早实施控制措施对于管理医疗保健系统负载至关重要.
- 使用模糊逻辑的数学建模为流行病学分析和政策优化提供了强大的框架.
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