Two critical times for the SIR model
Classical Analysis and ODEs
2020-09-23 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2009.10157,
title = {Two critical times for the SIR model},
author = {Ryan Hynd and Dennis Ikpe and Terrance Pendleton},
journal= {arXiv preprint arXiv:2009.10157},
year = {2020}
}