呼吸系统疾病和空气质量之间的相互影响的随机建模和分析
Huan Yang1, Sha He1, Sanyi Tang1
1School of Mathematics and Statistics, Shaanxi Normal University, Xi'an 710119, People's Republic of China.
Chaos (Woodbury, N.Y.)
|July 22, 2025
概括
随机模型显示,随机变化可以帮助消除呼吸系统疾病并减少空气污染. 这种结合模型增强了对疾病传播和空气质量相互作用的理解.
科学领域:
- 环境科学 环境科学
- 流行病学 流行病学
- 数学建模的数学建模
背景情况:
- 呼吸道病毒通过人与人接触和空气中的微粒传播.
- 空气污染加剧了空气传播疾病的传播,创造了一个反循环.
- 疾病的社会影响推动了改善空气质量的倡议.
研究的目的:
- 开发呼吸道疾病传播和空气污染的随机,双向合模型.
- 分析疾病动态和空气质量之间的相互影响.
- 确定疾病和污染消除或持续的条件.
主要方法:
- 开发了一个随机双向合的数学模型.
- 吸收了呼吸道病毒的双重传播途径.
- 考虑到疾病和空气质量动态中的随机因素.
- 导出了消除和持久性的条件.
- 执行数值模拟和数据拟合用于验证.
主要成果:
- 随机模型表明,随机性可以促进消除疾病和减轻空气污染.
- 当疾病和污染持续存在时,存在静止分布.
- 数字模拟验证了模型的准确性和有效性.
- 合关系提供了对相互作用的更全面的理解.
结论:
- 随机性在控制呼吸道疾病和空气污染方面发挥着至关重要的作用.
- 结合模型为研究这些相互关联的问题提供了一个全面的框架.
- 这些发现支持公共卫生和环境保护的综合战略.
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