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arXiv · 2009.10157

Two critical times for the SIR model

Ryan Hynd·Dennis Ikpe·Terrance Pendleton
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Abstract

We consider the SIR model and study the first time the number of infected individuals begins to decrease and the first time this population is below a given threshold. We interpret these times as functions of the initial susceptible and infected populations and characterize them as solutions of a certain partial differential equation. This allows us to obtain integral representations of these times and in turn to estimate them precisely for large populations.

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Ryan Hynd, Dennis Ikpe, Terrance Pendleton. 2020-09-21. Two critical times for the SIR model. https://arxiv.org/abs/2009.10157

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