Accurate closed-form solution of the SIR epidemic model
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Publication:2115550
DOI10.1016/j.physd.2020.132540zbMath1485.92112arXiv2004.07833OpenAlexW3022013395WikidataQ94501726 ScholiaQ94501726MaRDI QIDQ2115550
Nathaniel S. Barlow, Steven J. Weinstein
Publication date: 17 March 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.07833
Epidemiology (92D30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic properties of solutions to ordinary differential equations (34D05)
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Uses Software
Cites Work
- Unnamed Item
- The explicit series solution of SIR and SIS epidemic models
- The Mathematics of Infectious Diseases
- Asymptotic Approximant for the Falkner–Skan Boundary Layer Equation
- On the Summation of Divergent, Truncated, and Underspecified Power Series via Asymptotic Approximants
- Accurate closed-form trajectories of light around a Kerr black hole using asymptotic approximants
- An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes
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