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Mathematics of a Zombie Attack

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Originally posted on August 16, 2009.

 

Here is the abstract of a new paper in Infectious Disease Modelling Research Progress.

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.

 

Hat tip to Cory Doctorow at Boing Boing.

About the Author
Alex Tabarrok is Bartley J. Madden Chair in Economics at the Mercatus Center at George Mason University and director of research for The Independent Institute. Tabarrok is co-author with Tyler Cowen of the popular economics blog, Marginal Revolution. His recent research looks at bounty hunters, judicial incentives and elections, crime control, patent reform, methods to increase the supply of human organs for transplant, and the regulation of pharmaceuticals. He is the editor of the books, Entrepreneurial Economics: Bright Ideas from the Dismal Science; The Voluntary City: Choice, Community, and Civil Society; and Changing the Guard: Private Prisons and The Control of Crime. His papers have appeared in the Journal of Law and Economics, Public Choice, Economic Inquiry, Journal of Health Economics, Journal of Theoretical Politics, The American Law and Economics Review, Kyklos and many other journals. His popular articles have appeared in The New York Times, The Wall Street Journal, and many other magazines and newspapers.