Mathematical modeling is explored through the lens of contagion, using the ILOVEYOU computer worm and zombie apocalypse scenarios as parallel examples. The post introduces compartmental models (SI, SIZR), explains how populations are grouped by state and connected by flow rates, and derives equations showing exponential growth and basic reproduction numbers. It then extends the framework from 'well-mixed' assumptions to networked worlds, showing how hub structure affects spread and control. The core message is that the same mathematical framework applies to viral code, biological disease, and ideas alike.
Table of contents
Act 0 – What’s a model?Compartments: how to turn “stories” into equationsAct I — The cyber epidemicAct II — The Anatomy of a Zombie Apocalypse (S–I–Z–R)Act III — From well-mixed to networked worldsModeling as “compressed understanding”166 Impressions