Accurate closed-form solution of the SIR epidemic model

Abstract

An accurate closed-form solution is obtained to the SIR Epidemic Model through the use of Asymptotic Approximants (Barlow et. al, 2017, Q. Jl Mech. Appl. Math, 70 (1), 21-48). 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.

Updates: Fixed a typo in previous version's equation 6c. Included link to Python code

References in corpus (2)

• An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes
• On the summation of divergent, truncated, and underspecified power series via asymptotic approximants

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