使用延迟微分方程对裂谷热传播动态进行基于值的分析
Ali Raza1,2, Mansoor Alsulami3, Marek Lampart1
1IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Czech Republic.
PloS one
|February 5, 2026
概括
裂谷热 (RVF) 是一种影响牲畜和人类的动物传播疾病. 这项研究开发了一个数学模型来理解RVF传输动态,揭示了影响其传播和持久性的关键因素.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 兽医科学 兽医科学 兽医科学
背景情况:
- 裂谷热 (Rift Valley Fever,简称RVF) 是一种由蚊子等载体传播的重大动物性疾病.
- 疫情导致牲畜的高死亡率和人类的严重疾病,导致巨大的经济损失.
- 了解RVF传播动态对于有效的控制策略至关重要.
研究的目的:
- 使用确定性流行病模型研究裂谷热 (RVF) 的传播动态.
- 纳入延迟微分方程以捕捉随时间的疾病进展.
- 分析模型的稳定性和灵敏性,以确定关键传输参数.
主要方法:
- 开发了RVF的确定性流行病模型,将人群划分为易感,接种疫苗,感染和康复的部分.
- 利用延迟微分方程和基于的全球稳定性方法.
- 导出了基本的复制号码,并应用了Routh-Hurwitz标准和LaSalle的不变原理来进行稳定性分析.
- 使用 MATLAB 的 DDE23 解决器进行了灵敏度分析和数值模拟.
主要成果:
- 建立了模型的基本动态特性 (积极性和边界性).
- 确定并比较了两个平衡点:裂谷无热平衡点 (RVFFE) 和裂谷热流行平衡点 (RVFEE).
- 敏感性分析突出了影响RVF传播和持久性的关键参数.
- 数字模拟证明了延迟对感染动态和易感性的影响.
结论:
- 该研究提供了关于时间因素和参数不确定性在RVF传播中的作用的见解.
- 开发的模型有助于理解这种新兴动物传播疾病的复杂动态.
- 这些发现可以为改善谷热的控制和预防策略的制定提供信息.
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