Hier eine wissenschaftliche Arbeit über die Mathematik eines Zombie-Outbreaks. Kein Witz! Kommt sogar mit verschiedenen Modellen zu unterschiedlichen Infektionsgeschwindigkeiten, Quarantäne und so weiter… Endlich hat das mal jemand alles ausgerechnet.
Zombies are a popular ﬁgure in pop culture/entertainment and they are usually portrayed as being brought about through an outbreak or epidemic. Consequently, we model a zombie attack, using biological assumptions based on popular zombie movies. We introduce a basic model for zombie infection, determine equilibria and their stability, and illustrate the outcome with numerical solutions.
We then reﬁne the model to introduce a latent period of zombiﬁcation, whereby humans are infected, but not infectious, before becoming undead. We then modify the model to include the effects of possible quarantine or a cure.
Finally, we examine the impact of regular, impulsive reductions in the number of zombies and derive conditions under which eradication can occur. We show that only quick, aggressive attacks can stave off the doomsday scenario: the collapse of society as zombies overtake us all.