论文标题
SIR流行病学模型中感染人口阈值超出感染人口阈值的分析
Analysis of infected population threshold exceedance in an SIR epidemiological model
论文作者
论文摘要
我们考虑一个流行病学的先生模型和一个正阈值$ m $。使用SIR模型和Lambert W功能的解决方案曲线的参数表达式，我们在基本复制号码$ \ Mathcal {R} _0 $上建立了必要和足够的条件，以确保受感染的总体不超过阈值$ M $。我们还提出和分析了不同的措施，以量化可能的阈值超出阈值。
We consider an epidemiological SIR model and a positive threshold $M$. Using a parametric expression for the solution curve of the SIR model and the Lambert W function, we establish necessary and sufficient conditions on the basic reproduction number $\mathcal{R}_0$ to ensure that the infected population does not exceed the threshold $M$. We also propose and analyze different measures to quantify a possible threshold exceedance.
