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arXiv:1503.01104q-bio.PE

You Can Run, You Can Hide: The Epidemiology and Statistical Mechanics of Zombies

Alexander A. Alemi, Matthew Bierbaum, Christopher R. Myers, James P. Sethna

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Abstract

We use a popular fictional disease, zombies, in order to introduce techniques used in modern epidemiology modelling, and ideas and techniques used in the numerical study of critical phenomena. We consider variants of zombie models, from fully connected continuous time dynamics to a full scale exact stochastic dynamic simulation of a zombie outbreak on the continental United States. Along the way, we offer a closed form analytical expression for the fully connected differential equation, and demonstrate that the single person per site two dimensional square lattice version of zombies lies in the percolation universality class. We end with a quantitative study of the full scale US outbreak, including the average susceptibility of different geographical regions.

arXiv comments
13 pages, 13 figures
Journal reference
Phys. Rev. E 92, 052801 (2015)
DOI
doi:10.1103/PhysRevE.92.052801
Subjects
q-bio.PEPopulations and Evolution physics.pop-phPopular Physics

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    • This a javascript implementation of the simulations that we used to study zombies on the continental US. More details can be found in the preprint on the arxiv http://arxiv.org/abs/1503.01104 The parameters are (1) the kill to bite ratio which is the relative ability for a human…

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