不局部扩展流行病模型的稳定性分析和数值模拟使用阳性性保护方案
Muhammad Yousuf1, Narjes Alshakhoury2
1Department of Mathematics, King Fahd University of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia. myousuf@kfupm.edu.sa.
Scientific reports
|January 21, 2026
概括
这项研究引入了一个新的数值框架来模拟分数流行病模型,揭示了分数扩散如何影响疾病传播. 这些发现为公共卫生政策和流行病控制战略提供了强大的计算工具.
科学领域:
- 数学生物学 数学生物学
- 计算流行病学计算流行病学
- 数字分析 数字分析
背景情况:
- 流行病建模对于了解疾病传播至关重要.
- 传统模型往往简化了时空动态.
- 分数计算提供了一个强大的工具,以捕捉复杂的疾病传播模式.
研究的目的:
- 开发一个强大的数值框架,用于非局部扩展的流行病模型与分数扩散.
- 调查分数扩散对疾病传播动态的影响.
- 为公共卫生政策和流行病控制提供计算工具.
主要方法:
- 空间离散的福里埃光谱方法.
- 积极性维护的指数时间差异化用于时间整合.
- 对SIR和SEIR分数流行病模型的分析.
主要成果:
- 数值方案是L稳定的,并保持积极性.
- 分数扩散显著影响疾病的空间分布和时间演变.
- 开发的方法实现了二级准确度.
结论:
- 分数扩散在流行病建模中起着至关重要的作用.
- 拟议的数值框架对于模拟复杂疾病动态是有效的.
- 这项研究为未来在公共卫生和流行病控制方面的研究提供了基础.
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