论文标题
在个人变化和再感染下的牛群免疫力
Herd immunity under individual variation and reinfection
论文作者
论文摘要
我们研究了Gomes等人考虑的SEIR模型。 \ cite {gomes2020}和Aguas等。 \ cite {aguas2020}，其中假定不同的个体具有不同水平的敏感性或暴露于感染。在这种异质性假设下，当获得免疫力的人群的百分比超过关键水平 - 群免疫阈值时，流行病的增长会有效抑制。我们找到明确的公式来计算牛群免疫阈值和稳定的配置，并探索模型的扩展。
We study a SEIR model considered by Gomes et al. \cite{Gomes2020} and Aguas et al. \cite{Aguas2020} where different individuals are assumed to have different levels of susceptibility or exposure to infection. Under this heterogeneity assumption, epidemic growth is effectively suppressed when the percentage of population having acquired immunity surpasses a critical level - the herd immunity threshold - that is lower than in homogeneous populations. We find explicit formulas to calculate herd immunity thresholds and stable configuration, and explore extensions of the model.
