论文标题
SEIR流行模型的分析解通过渐近近似
Analytic solution of the SEIR epidemic model via asymptotic approximant
论文作者
论文摘要
获得了SEIR流行模型的分析解决方案。该解决方案是通过在$ \ ln s $中构造单个二阶非线性微分方程并分析继续其发散功率系列解决方案来创建的，从而匹配了流行病模型的正确长期指数减速。这是通过渐近近似物（Barlow等，2017，Q. JlMech。Appl。Math，70（1），21-48）的形式，其形式融合了这种阻尼。分析形式的效用是通过其应用于COVID-19大流行的。
An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in $\ln S$ 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, Q. Jl Mech. Appl. Math, 70 (1), 21-48) 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.
