在一个不一致的环境中对SVEIR流行病模型的动态分析
Maoxing Liu1,2, Yuhang Li2
1College of Science, Beijing University of Civil Engineering and Architecture, Beijing 102616, China.
Mathematical biosciences and engineering : MBE
|November 3, 2023
概括
这项研究引入了多补丁SVEIR流行病模型与疫苗接种. 疫苗接种有效控制了疾病在所有地区的传播,而移民影响了传播动态.
科学领域:
- 数学建模的数学建模
- 流行病学 流行病学
- 公共卫生 公共卫生
背景情况:
- 了解疾病动态对于有效的公共卫生干预至关重要.
- 以前的模型往往没有考虑多贴片种群和全面的疫苗接种策略.
研究的目的:
- 开发和分析一个多贴片SVEIR (易感-接种疫苗-感染-暴露-康复) 流行病模型.
- 调查新生儿和易受感染的个体接种疫苗的影响.
- 评估人口迁移对疾病传播的影响.
主要方法:
- 构建一个带有明显补丁的隔间SVEIR模型.
- 基本复制数 ($R_0$) 的计算.
- 分析无疾病平衡的稳定性 ($P_0$).
- 数字模拟用于探索疾病传播和控制.
主要成果:
- 当 $R_0 < 1$ 时,无疾病平衡是稳定的,当 $R_0 > 1$ 时是不稳定的.
- 如果$R_0>1$,则该疾病在人口中具有均的持续性.
- 疫苗接种策略在控制所有斑块传播的疾病方面表现出有效性.
- 人口迁移被证明有可能加剧或减轻斑块内的疾病传播.
结论:
- 拟议的SVEIR模型提供了对多补丁流行病动态的见解.
- 疫苗接种是控制相互联系的人群中传染病的关键策略.
- 移民模式对控制措施的有效性和疾病的持续性有重大影响.
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