针对COVID-19的最佳控制模式与疫苗接种和面罩的影响一起传播
Ammar ElHassan1, Yousef AbuHour1, Ashraf Ahmad1
1Princess Sumaya University for Technology, Al-Jubaiha, Amman 11941, Amman, 1438, Jordan.
Heliyon
|October 9, 2023
概括
这项研究开发了COVID-19的数学控制模型,优化了疫苗接种策略和面罩的使用,以制病毒的传播. 该模型与约旦数据验证,为有效的流行病预防提供了洞察力.
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:
- COVID-19的传播需要先进的流行病学模型.
- 现有的SIR模型和SEIQR变异为流行病分析提供了信息.
- 数学流行病学需要结合控制措施,如面罩.
研究的目的:
- 为最佳的COVID-19疫苗接种策略开发和应用数学控制模型.
- 分析面罩对病毒传播动态和稳定性的影响.
- 通过控制理论,提供对有效的病毒传播预防的见解.
主要方法:
- 使用非线性微分方程系统和SEIQR模型.
- 应用Pontryagin的最大原则,以制定最佳的控制策略.
- 使用MATLAB和统计测试与约旦COVID-19数据的验证模型.
主要成果:
- 量化了面罩对复制数和模型稳定性的影响.
- 分析了隔离和传染性COVID-19病例之间的差异.
- 模拟了面罩有效性,控制措施,成本和感染病例之间的关系.
结论:
- 开发的数学控制模型有效地代表了最佳的疫苗接种和面罩策略.
- 控制理论为缓解COVID-19传播提供了有价值的见解.
- 使用真实世界数据 (约旦) 的模型验证证实了其适用性.
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