Author: B'aez-S'anchez, Andr'es David; Bobko, Nara
Title: Analysis of infected population threshold exceedance in an SIR epidemiological model Cord-id: y78a72s2 Document date: 2020_9_9
ID: y78a72s2
Snippet: 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.
Document: 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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