基于年龄结构的COVID-19传播模型与自愿接种疫苗的策略和进化游戏的动态分析
Qingxia Ma1, Jie Xu1, Gang Huang1
1School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei, People's Republic of China.
Journal of biological dynamics
|January 27, 2026
概括
这项研究模拟了COVID-19的传播,发现基本的繁殖数量决定了疾病的持续性. 自愿接种疫苗需要较低的疫苗成本,以增加接种率和控制传播.
科学领域:
- 流行病学 流行病学
- 数学建模的数学建模
- 游戏理论 游戏理论
背景情况:
- COVID-19 (2019年冠状病毒疾病) 显示了与年龄相关的感染变化.
- 了解疾病动态对于有效的公共卫生干预至关重要.
研究的目的:
- 利用年龄结构化的传染病模型分析强制性和自愿性疫苗接种策略对COVID-19进展的影响.
- 研究基本繁殖数 (R0) 在疾病持续性中的作用.
- 探索疫苗成本和有效性对自愿接种疫苗的疾病动态的影响.
主要方法:
- 开发一个年龄结构化的传染病模型,结合进化游戏理论.
- 为存在平衡条件的推导.
- 作为值参数的基本复制数 (R0) 的分析.
- 数字模拟用于评估疫苗政策的影响,疫苗成本和有效性.
主要成果:
- 基本繁殖数 (R0) 被证实是决定疾病动态的关键值参数.
- COVID-19 的持续性直接取决于 R0 值.
- 在自愿接种疫苗的情况下,增强的疫苗有效性不会减少在非常低的疫苗接种率下传播.
- 较低的相对疫苗成本对于促进更高的疫苗接种量至关重要.
结论:
- 基本的繁殖数是COVID-19持续性的关键决定因素.
- 自愿接种疫苗的策略需要仔细考虑疫苗的成本,以实现充分的接种和控制疾病的传播.
- 如果疫苗接种率仍然很低,疫苗的有效性可能不足以制传播.
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