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arXiv · 2009.06409

Analysis of infected population threshold exceedance in an SIR epidemiological model

Andrés David Báez-Sánchez·Nara Bobko
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Abstract

We consider an epidemiological SIR model and a positive threshold $M$. Using a parametric expression for the solution curve of the SIR model and the Lambert W function, we establish necessary and sufficient conditions on the basic reproduction number $\mathcal{R}_0$ to ensure that the infected population does not exceed the threshold $M$. We also propose and analyze different measures to quantify a possible threshold exceedance.

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Andrés David Báez-Sánchez, Nara Bobko. 2020-09-09. Analysis of infected population threshold exceedance in an SIR epidemiological model. https://arxiv.org/abs/2009.06409

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