Numberphile: The Coronavirus Curve. (YouTube, 22:17min) “Ben Sparks explains (and codes) the so-called SIR Model being used to predict the spread of coronavirus (COVID-19).”
I played along at home and created my own version with Geogebra, but you can also find Ben Sparks’s version here: SIR Model.
Be sure to also check out the links in the description of the video.
3Blue1Brown: Simulating an epidemic. (YouTube, 23:11min)
“While here we looked at what you might call an “agent-based” SIR model, if you want to see what it looks like as a set of differential equations, Ben Sparks just did a lovely video on the topic over at Numberphile [see above].
There are a few reasons I like the agent-based model here, for demo purposes at least. It’s a bit easier to understand for those who are not comfortable yet with ODEs, for one. It also conveys how things are not deterministic; no real-world curve will look as smooth as the differential equations. It also makes it way easier to ask questions and bake other assumptions into the model. Introducing things like travel or community centers into the differential equations would get very hairy very quickly. For those who want to go much more deeply into this, the Institute for Disease Modeling has a lot of models free for people to look at and play with.”