Accurate closed-form solution of the SIR epidemic model.

Physica D

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

Published: July 2020

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.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7195136PMC
http://dx.doi.org/10.1016/j.physd.2020.132540DOI Listing

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