Analytic solution of the SEIR epidemic model via asymptotic approximant

DOI10.1016/j.physd.2020.132633zbMath1496.34087arXiv2006.09818OpenAlexW3035768016WikidataQ98655546 ScholiaQ98655546MaRDI QIDQ2127396

Kelly E. Rogers, Steven J. Weinstein, Nathaniel S. Barlow, Morgan S. Holland

Publication date: 20 April 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09818

zbMATH Keywords

analytic solutionasymptotic analysisSEIR modelapproximant

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (8)

Nonlinear control of infection spread based on a deterministic SEIR model ⋮ Comparing the dynamics of COVID-19 infection and mortality in the United States, India, and Brazil ⋮ The first integrals and closed‐form solutions of a Susceptible‐Exposed‐Infectious epidemic model ⋮ Isolation in the control of epidemic ⋮ Existence of exact solution of the susceptible-exposed-infectious-recovered (SEIR) epidemic model ⋮ Explicit formulae for the peak time of an epidemic from the SIR model ⋮ Trends in COVID-19 prevalence and mortality: a year in review ⋮ Nonlinear dynamics of an epidemic compartment model with asymptomatic infections and mitigation

Uses Software

• GitHub

Cites Work

• Unnamed Item
• Accurate closed-form solution of the SIR epidemic model
• The Padé approximant
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• 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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