通过结合环境和社会距离,对COVID-19非线性数学模型进行全面分析
Muhammad Riaz1, Kamal Shah1,2, Thabet Abdeljawad3
1Department of Mathematics, University of Malakand, Dir(L), 18000, Khyber Pakhtunkhwa, Pakistan.
Scientific reports
|May 28, 2024
概括
这项研究分析了COVID-19数学模型,其中包括环境因素和社会距离. 它使用先进的方法来了解疾病的动态和稳定性,并提供对控制策略的见解.
科学领域:
- 数学生物学 数学生物学
- 流行病学 流行病学
- 非线性动力学是一种非线性动力学.
背景情况:
- COVID-19呈现出由环境因素和公共卫生干预影响的复杂动态.
- 数学建模对于了解疾病传播和评估控制策略至关重要.
研究的目的:
- 分析COVID-19的非线性数学模型,包括环境因素和社会距离.
- 调查模型的稳定性,平衡点和对各种参数的敏感性.
- 使用数值模拟来可视化疾病动态.
主要方法:
- 对平衡点和基本生殖率 (R0) 的分析.
- 沃尔特拉-利亚普诺夫 (V-L) 矩阵的应用用于稳定性分析 (本地和全球).
- 使用非标准有限差异 (NSFD) 方法进行数值模拟.
主要成果:
- 无病和特有平衡的详细稳定性分析.
- 敏感性分析揭示了影响COVID-19动态的关键参数.
- 模拟结果的图形表示,展示了环境因素和社会距离的影响.
结论:
- 该研究为了解COVID-19动态提供了一个强大的理论和数值框架.
- 研究结果强调了环境因素和社会距离在疾病控制中的关键作用.
- 沃尔特拉-利亚普诺夫方法和NSFD技术为流行病学建模提供了强大的工具.
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