Author: Weinstein, Steven J.; Holland, Morgan S.; Rogers, Kelly E.; Barlow, Nathaniel S.
Title: Analytic solution of the SEIR epidemic model via asymptotic approximant Cord-id: vvrl89x3 Document date: 2020_6_25
ID: vvrl89x3
Snippet: An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in [Formula: see text] 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 o
Document: An analytic solution is obtained to the SEIR Epidemic Model. The solution is created by constructing a single second-order nonlinear differential equation in [Formula: see text] 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.
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