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关于流行病在超人口网络中传播,接触模式随时间变化而变化
Dun Han1, Juquan Wang1, Qi Shao1
1School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu 212013, China.
Chaos (Woodbury, N.Y.)
|September 27, 2023
概括
这项研究模拟了沟通的季节性变化,揭示了较长时间的高接触增加了流行病的传播. 基本的繁殖数影响感染幅度,较长的接触持续时间具有更大的影响.
科学领域:
- 流行病学 流行病学
- 数学建模的数学建模
- 网络科学 网络科学
背景情况:
- 人类的沟通模式往往因季节而异.
- 超人口网络对于了解相互连接的人口中疾病传播至关重要.
- 时间变化的接触率显著影响了流行病的动态.
研究的目的:
- 开发一种流行病模型,纳入面对面沟通的季节性变化.
- 分析时间变化的接触率对超级人口和第二邻居网络中的疾病传播的影响.
- 调查基本生殖数和流行病结果之间的关系.
主要方法:
- 利用一个交换系统来表示时间变化的接触率.
- 为不同的限制场景定义了基本复制号的两种形式.
- 采用了理论分析来确定无疾病平衡稳定性.
- 进行模拟,以确认周期稳定性和分析流行病的传播.
主要成果:
- 延长交换系统周期增加了最终的感染密度幅度,但不是峰值密度.
- 增加基本的繁殖数最初提高,然后降低,最终的感染密度幅度.
- 接触率与每期更长的持续时间对流行病传播产生了更大的影响.
- 更高的接触率与减少的康复和出生率以及增加的死亡率相关,导致最终感染密度更高.
结论:
- 接触率的季节性变化对流行病动态有重大影响.
- 接触时间,基本繁殖数和其他人口统计数据之间的相互作用决定了整体感染水平.
- 该模型提供了对具有波动性社会互动的人群中传染病控制的见解.
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