When Zombies Attack! Math and medicine (and zombies) combine for interesting epidemiology paper.
by David Ng
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Title: WHEN ZOMBIES ATTACK!: MATHEMATICAL MODELLING OF AN OUTBREAK OF ZOMBIE INFECTION
Authors: Philip Munz, Ioan Hudea, Joe Imad, Robert J. Smith.
Reference: Infectious Disease Modelling Research Progress, Chapter 4. Editors: J.M. Tchuenche and C. Chiyaka, pp. 133-150. ISBN 978-1-60741-347-9. c 2009 Nova Science Publishers, Inc.
Abstract: 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.
Link to full paper – here.