对非局部扩散登革热模型的动态分析.
Kangkang Chang1, Zhenyu Zhang2, Guizhen Liang3
1School of Mathematics and Statistics, Xinxiang University, Xinxiang, 453003, People's Republic of China. changkangkang86@sina.com.
Scientific reports
|September 14, 2023
概括
这项研究介绍了登革热传播的非局部扩散模型,强调了人类运动在疾病传播中的重要性. 控制登革热需要减少感染人类和蚊子的病毒传播.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 扩散模型 扩散模型
背景情况:
- 人类的运动模式显著影响疾病传播动态.
- 了解空间传播对于有效的公共卫生干预至关重要.
- 登革热仍然是一个重要的全球健康问题,需要先进的建模方法.
研究的目的:
- 开发和分析登革热传播的非局部扩散模型.
- 研究人类流动性对疾病动态的影响.
- 为全球登革热模型的稳定和统一持续创造条件.
主要方法:
- 利用半组理论和连续的弗雷切特微分函数.
- 使用非局部扩散项的自身价值分析.
- 导出了一个Liapunov函数,并应用了比较原理.
- 执行数值模拟以验证理论发现.
主要成果:
- 证明了模型解决方案的存在,独特性,积极性和有限性.
- 证明了登革热系统的全球稳定性和统一的持续性.
- 数字模拟证实了模型的预测.
- 确定了影响疾病制的关键因素.
结论:
- 非局部扩散是登革热传播动态的一个关键因素.
- 控制登革热的传播需要减少受感染的人类和蚊子的传播.
- 开发的数学模型为了解和管理登革热爆发提供了一个框架.
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