Accurate closed-form solution of the SIR epidemic model

被引：73

作者：

Barlow, Nathaniel S. ^{[1
]}

Weinstein, Steven J. ^{[1
,2
]}

机构：

[1] Rochester Inst Technol, Sch Math Sci, Rochester, NY 14623 USA

[2] Rochester Inst Technol, Dept Chem Engn, Rochester, NY 14623 USA

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2020年 / 408卷

关键词：

Approximant; SIR model; Asymptotic analysis; Analytic solution;

D O I：

10.1016/j.physd.2020.132540

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et al., 2017). The solution is created by analytically continuing the divergent power series solution such that it matches the long-time asymptotic behavior of the epidemic model. The utility of the analytical form is demonstrated through its application to the COVID-19 pandemic. (C) 2020 Elsevier V. All rights reserved.

引用

页数：4

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