An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in $lnS$ and analytically continuing its divergent power series solution such that it matches the correct long-time exponential damping of the epidemic model. This is achieved through an asymptotic approximant (Barlow et al., 2017) in the form of a modified symmetric Padé approximant that incorporates this damping. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic.

中文翻译：

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SEIR 流行病模型的渐近近似解析解。

获得SEIR流行病模型的解析解。该解是通过构造一个二阶非线性微分方程来创建的$<span\; data-immersive-translate-walked="e191068d-cdf7-42df-984b-e04f9179a556">因</span>\mathrm{<span\; data-immersive-translate-walked="e191068d-cdf7-42df-984b-e04f9179a556">S</span>}$并分析继续其发散幂级数解，使其与流行病模型的正确的长期指数阻尼相匹配。这是通过渐近近似（Barlow et al., 2017）实现的，其形式是结合了这种阻尼的改进对称 Padé 近似。该分析形式的实用性通过其在 COVID-19 大流行中的应用得到了证明。