Differential Equations & Epidemic Modeling

Leah Valentiner

Isaac Newton

https://fee.org/articles/how-isaac-newton-turned-isolation-from-the-great-plague-into-a-year-of-wonders/

Calculus!

Overview

• Differential Equations crash course
• Epidemics
• Epidemic modeling

Euler’s Method 1

https://www.desmos.com/calculator/a4zsaszez8

Euler’s Method 2

https://www.geogebra.org/m/NUeFjm9J

Disease Definitions

https://www.publichealth.columbia.edu/news/epidemic-endemic-pandemic-what-are-differences

SIR Model

https://shiny.vet.unimelb.edu.au/epi/sir.vanilla/

R₀

https://sph.umich.edu/pursuit/2020posts/how-scientists-quantify-outbreaks.html

Incorporating Age

https://www.nature.com/articles/s41598-021-94609-3

Stochastic Example

https://epimodels.dide.ic.ac.uk/infectiousdiseasemodels-2024/apps/stochasticity-4/

Stochastic Example II