Philip Munz1 ∗, Ioan Hudea1 †, Joe Imad2 ‡, Robert J. Smith?3 §
1
School of Mathematics and Statistics, Carleton University,
1125 Colonel By Drive, Ottawa, ON K1S 5B6, Canada
2
Department of Mathematics, The University of Ottawa,
585 King Edward Ave, Ottawa ON K1N 6N5, Canada
2
Department of Mathematics and Faculty of Medicine, The University of Ottawa,
585 King Edward Ave, Ottawa ON K1N 6N5, Canada
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.
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.
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