反应 - 导向 - 扩散 - 杆杆菌病流行病模型的值动态,具有季节性和空间异质性
Peng Wu1, Yurij Salmaniw2,3, Xiunan Wang4
1School of Sciences, Hangzhou Dianzi University, Hangzhou, 310018, China.
Journal of mathematical biology
|May 1, 2024
概括
导向,即水的运动,显著影响了杆菌病的传播动态. 缓慢的水流加剧了杆菌病,突出显示了在疾病模型中包括导向的重要性.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 环境健康 环境健康
背景情况:
- 水传播疾病模型通常通过省略水流向来简化分析.
- 导向对于了解疾病传播动态至关重要.
- 杆菌仍然是一个重大的全球健康问题.
研究的目的:
- 调查周期性反应 - 导向 - 扩散类杆菌病模型的长期动态.
- 探索向,季节性和空间异质性对杆菌病传播的综合影响.
- 分析水流在疾病传播中的作用.
主要方法:
- 开发了一个周期性反应 - 导向 - 扩散模型用于杆菌病.
- 导出了基本的复制号码 ().
- 分析了无病周期性溶液的全球稳定性和特有溶液均持久性的条件.
主要成果:
- 没有疾病的周期性溶液在时具有全球吸引力.
- 一个积极的固有周期性溶液存在,当时,系统是均持久的.
- 随着向导系数的增加,会减少.
结论:
- 导向是影响杆菌病传播的关键因素.
- 较慢的水流与更严重的杆菌病相关.
- 结合advection的数学模型为疾病控制策略提供了宝贵的见解.
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