Students at Carleton University and the University of Ottawa have published a paper in a book titled Infectious Disease Modelling Research Progress detailing how to model the spread of a zombie population and various complications in managing the spread of the infestation. They even give humans a fighting chance in some cases!

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It is possible to successfully fend off a zombie attack, according to Canadian mathematicians. The key is to “hit hard and hit often.”

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the model focuses on modern zombies, which are “very different from the voodoo and the folklore zombies.” It takes into account the possibility of quarantine (could lead to eradication, but unlikely to happen) and treatment (some humans survive, but they still must coexist with zombies), but shows that there is only one strategy likely to succeed: “impulsive eradication.”

“Only sufficiently frequent attacks, with increasing force, will result in eradication, assuming the available resources can be mustered in time,” they concluded.

And if we don’t act fast enough?

“If the timescale of the outbreak increases, then the result is the doomsday scenario: an outbreak of zombies will result in the collapse of civilization, with every human infected, or dead,” they wrote. “This is because human births and deaths will provide the undead with a limitless supply of new bodies to infect, resurrect and convert.”

How fast do we need to deal with the outbreak? Here’s the equation they used, where S = susceptibles, Z = zombies and R = removed. If an infection breaks out in a city of 500,000 people, the zombies will outnumber the susceptibles in about three days.

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