SIR 传染病模型的精确闭式解。

Barlow Nathaniel S, Weinstein Steven J

School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY 14623, USA.

Department of Chemical Engineering, Rochester Institute of Technology, Rochester, NY 14623, USA.

Physica D. 2020 Jul;408:132540. doi: 10.1016/j.physd.2020.132540. Epub 2020 Apr 29.

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.

通过使用渐近近似（Barlow等人，2017年），获得了SIR传染病模型的精确闭式解。该解是通过对发散幂级数解进行解析延拓而得到的，使其与传染病模型的长期渐近行为相匹配。通过将其应用于COVID-19大流行，证明了该解析形式的实用性。