A Mathematical Model of Epidemics—A Tutorial for Students

Clicks: 226
ID: 265771
2020
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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.
Reference Key
okabe2020mathematicsa Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Yutaka Okabe;Akira Shudo;Okabe, Yutaka;Shudo, Akira;
Journal Mathematics
Year 2020
DOI
10.3390/math8071174
URL
https://www.mdpi.com/2227-7390/8/7/1174/htm
Keywords
sir model numerical solution exact solution bernoulli differential equation abel differential equation

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