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Accurate closed-form solution of the SIR epidemic model.
Physica D: Nonlinear Phenomena ( IF 4 ) Pub Date : 2020-04-29 , DOI: 10.1016/j.physd.2020.132540
Nathaniel S Barlow 1 , Steven J Weinstein 1, 2
Affiliation  

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.



中文翻译:

SIR流行病模型的精确闭式解。

通过使用渐近近似,可以为SIR流行病模型获得准确的封闭形式解决方案(Barlow等,2017)。通过解析地继续发散幂级数解,使其与流行病模型的长期渐近行为相匹配,来创建该解。通过将分析形式应用于COVID-19大流行,证明了其实用性。

更新日期:2020-04-29
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