蚊子传播疾病模型的全球稳定性,在易感和复发宿主类中具有连续时间年龄结构
Maria Guadalupe Vazquez-Peña1, Cruz Vargas-De-León2,3, Jorge Velázquez-Castro4
1Centro de Investigación en Matemáticas, 36023 Guanajuato, Guanajuato, Mexico.
Mathematical biosciences and engineering : MBE
|December 19, 2024
概括
这项研究引入了蚊子传播疾病的新模型,结合了慢性和无症状感染年龄,以更好地了解疾病动态和与年龄相关的风险.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 传染性疾病 传染性疾病
背景情况:
- 蚊子传播的疾病对公众健康构成重大威胁.
- 年龄是疾病易感性和复发的关键风险因素.
- 年龄相关的动态会影响疾病的传播和结果.
研究的目的:
- 为蚊子传播的疾病开发一种新的数学模型.
- 将时间年龄和无症状感染年龄纳入疾病建模.
- 分析年龄对疾病动态和稳定性的影响.
主要方法:
- 开发一个整微分方程系统.
- 结合灵活,可集成的功能,以适应年龄因素.
- 在稳定性分析中使用直接莱普诺夫方法与沃尔特拉型莱普诺夫函数的应用.
主要成果:
- 拟议的模型捕捉了年龄相关的易感性和复发动态.
- 分析了无病和特有平衡的全球稳定性.
- 模型的行为通过主体-矢量模型的特殊情况来探索.
结论:
- 年龄相关因素,包括慢性和无症状感染年龄,对于了解蚊子传播疾病的动态至关重要.
- 新模型为研究这些疾病提供了更全面的框架.
- 进一步的研究可以在这个框架内探索特定的宿主-载体相互作用.
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