针对不同类型的传播,对Covid-19模型的部分研究
Mohammad Partohaghighi1, Ali Akgül2,3,4
1Department of Mathematics, Clarkson University Potsdam, NY 13699, USA.
Kuwait journal of science
|November 28, 2023
概括
这项研究使用分数计算和分数顺序的阿尔珀特多波小组方法来模拟COVID-19的传染性. 该方法为了解疾病传播动态提供了准确的近似解决方案.
科学领域:
- 数学建模的数学建模
- 流行病学 流行病学
- 分数微积分的计算.
背景情况:
- COVID-19 (冠状病毒疾病2019) 呈现出复杂的传染性动态.
- 了解疾病传播需要强大的数学框架.
- 分数计算为模拟复杂系统提供了先进的工具.
研究的目的:
- 通过使用分数顺序的数学系统来调查COVID-19的传染性.
- 应用分数顺序的阿尔伯特多波小子 (FAM) 方法,用于近似的解决方案.
- 分析不同标志对疾病传播的影响.
主要方法:
- 为COVID-19开发一个分数顺序的数学模型.
- 对于数值解决方案的分数顺序阿尔伯特多波器 (FAM) 的实现.
- 使用 Riemann-Liouville 分数运算整合矩阵 (RLFOMI) 与 FAM.
- 分数系统转换为代数方程.
- 拟议数值方案的错误估计.
主要成果:
- FAM方法成功地为分数顺序的COVID-19模型生成了近似解决方案.
- 数值方案在各种分数顺序中表现出令人满意的准确性.
- 该研究提供了关于不同疾病标志条件下的传染性的见解.
结论:
- 分数顺序的阿尔珀特多波小组方法是分析分数流行病模型的有效工具.
- 这种方法提供了一种可靠的方法来研究COVID-19传播动态.
- 这些发现有助于对传染病传播的数学理解.
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