一个SIS性别结构化的流感A模型,在一个不同规模的开放人群中具有阳性病例死亡率
Muntaser Safan1,2, Bayan Humadi1
1Mathematics Department, Faculty of Science, Umm Al-Qura University, Makkah 21955, KSA.
Mathematical biosciences and engineering : MBE
|November 1, 2024
概括
性差异显著影响流感A的动态. 性别之间的易感性,传染性和死亡率的差异可以改变感染的传播和结果,甚至导致疾病模型的向后分叉.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 传染病建模 传染病建模
背景情况:
- 甲型流感对公众健康构成重大挑战.
- 了解影响疾病动态的因素对于有效控制至关重要.
- 性差异越来越被认为是传染病的重要决定因素.
研究的目的:
- 研究性别差异在A型流感的流行病学结果中的作用.
- 扩展经典的易受感染易受感染 (SIS) 模型,以纳入性别特定的参数.
- 分析这些差异对变量大小的开放群体中疾病传播和致死率的影响.
主要方法:
- 将性别差异纳入扩展的SIS模型的数学分析.
- 进行了平衡和分叉分析.
- 在数值上检测异常稳定性,并确定有效值.
主要成果:
- 该模型证明了在特定参数范围的基本复制数 ($ \mathcal{R}_0 $) 1 的向后分叉.
- 敏感性,传染性和病例死亡率的性别特异性显著影响了疾病的结果.
- 模拟证实了有关性别差异影响的理论发现.
结论:
- 性差异在塑造甲型流感的整体动态和结果方面发挥着至关重要的作用.
- 扩展的SIS模型提供了关于性别特异因素如何影响疾病传播和严重性的见解.
- 这些发现强调了在流行病学研究和流感公共卫生战略中将性别视为生物变量的重要性.
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