On Integrable Models for the Spread of Disease

The integrable versions of SIR epidemic models are introduced. The exact solutions of these models are derived. The advantage of these models is the possibility of full analysis of obtained solutions and the simplicity of explicit formulas for the important metrics of spread of disease. The effectiveness of these formulas is illustrated by applications to the spread of COVID-19.

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Publication Details

Journal
Modern mathematical physics
Published
2025-09-22
DOI
https://doi.org/10.3390/mmphys1020008
Primary Topic
COVID-19 epidemiological studies
Type
article
Field-Weighted Citation Impact
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article

On Integrable Models for the Spread of Disease

Gro Hovhannisyan
Modern mathematical physics
COVID-19 epidemiological studies
article

On Integrable Models for the Spread of Disease

Gro Hovhannisyan
article en

Abstract

The integrable versions of SIR epidemic models are introduced. The exact solutions of these models are derived. The advantage of these models is the possibility of full analysis of obtained solutions and the simplicity of explicit formulas for the important metrics of spread of disease. The effectiveness of these formulas is illustrated by applications to the spread of COVID-19.

Modern mathematical physicsVol. 1(2)
Kent State University at Stark (US)
Openalex Percentile: Top 71%
COVID-19 epidemiological studies
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On Integrable Models for the Spread of Disease — Gro Hovhannisyan · Modern mathematical physics (2025) | TGRS Research Map | TGRS