Two critical times for the SIR model

Autor: Hynd, Ryan, Ikpe, Dennis, Pendleton, Terrance
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv