A Mathematical Model of Epidemics—A Tutorial for Students
Yutaka Okabe, Akira Shudo
Abstract
This is a tutorial for the mathematical model of the spread of epidemic diseases. Beginning with the basic mathematics, we introduce the susceptible-infected-recovered (SIR) model. Subsequently, we present the numerical and exact analytical solutions of the SIR model. The analytical solution is emphasized. Additionally, we treat the generalization of the SIR model including births and natural deaths.
Topics & Concepts
Epidemic modelGeneralizationMathematical modelComputer scienceApplied mathematicsCalculus (dental)MathematicsMathematics educationStatisticsDemographyMedicineMathematical analysisPopulationSociologyDentistryCOVID-19 epidemiological studiesViral Infections and Outbreaks ResearchSARS-CoV-2 and COVID-19 Research