Description
Munz, Philip , Ioan Hudea, Joe Imad, Robert J. Smith. 2009. When Zombies Attack!: Mathematical modelling of an Outbreak of Zombie Infection. Pp: 133-150. In Infectious Disease Modelling Research Progress. Ed: J. M. Tshuenche and C. Chiyaka. Hauppauge NY: Nova Science Publishers.
See https://mysite.science.uottawa.ca/rsmith43/zombies.pdf . Accessed 27 March 2023.
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.
Basic SIR model is offered and explained and it is demonstrated that there is an unstable disease-free equilibrium, latent infection, quarantine, treatment, impulsive eradication, are then considered with the same approach and attention to stability. Full Matlab code is offered.
Keywords: Zombie, epidemic, infection, latent infection, quarantine, treatment, impulsive eradication, stability, equilibrium, model, differential equation, system, nonlinear
2009-Munz-EtAl.pdf
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