具有空气污染的非局部分散流行病模型的基本繁殖数的动态和计算
Qi Zhou1, Xinzhong Xu1, Qimin Zhang1
1School of Mathematics and Statistics, Ningxia University, Yinchuan, 750021 People's Republic of China.
概括
这项研究引入了一种流行病模型,将空气污染与疾病传播联系起来. 较高的污染物水平增加了传播,影响了疾病的持续性和控制策略.
科学领域:
- 数学流行病学数学流行病学
- 环境科学环境科学
- 公共卫生 公共卫生
背景情况:
- 空气污染影响公众健康,并可能影响疾病传播动态.
- 了解大规模个体运动对于流行病建模至关重要.
研究的目的:
- 开发和分析一个包含空气污染的非局部分散流行病模型.
- 调查污染物度与疾病传播率之间的关系.
- 确定疾病根除与持续的条件.
主要方法:
- 与空气污染有关的非局部分散的数学建模.
- 对独特性和存在的全球积极解决方案的分析.
- 定义和分析基本的复制数 ().
- 用于近似计算的数值方法.
主要成果:
- 建立了无疾病平衡 () 全球非对称稳定的条件.
- 在时,证明了疾病的均持久性.
- 描绘了分散率对的影响.
结论:
- 空气污染显著影响流行病的动态,影响疾病的传播和持续性.
- 基本的生殖数 () 是疾病控制的关键值.
- 该模型提供了关于在不同污染水平的环境中管理流行病的见解.
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