That is the conclusion of a mathematical exercise carried out by researchers in Canada.
They say only frequent counter-attacks with increasing force would eradicate the fictional creatures.
The scientific paper is published in a book - Infectious Diseases Modelling Research Progress.
In books, films, video games and folklore, zombies are undead creatures, able to turn the living into other zombies with a bite.
But there is a serious side to the work.
In some respects, a zombie "plague" resembles a lethal, rapidly spreading infection. The researchers say the exercise could help scientists model the spread of unfamiliar diseases through human populations.
My understanding of zombie biology is that if you manage to decapitate a zombie then it's dead forever Professor Neil Ferguson |
In their study, the researchers from the University of Ottawa and Carleton University (also in Ottawa) posed a question: If there was to be a battle between zombies and the living, who would win?
Professor Robert Smith? (the question mark is part of his surname and not a typographical mistake) and colleagues wrote: "We model a zombie attack using biological assumptions based on popular zombie movies.
"We introduce a basic model for zombie infection and illustrate the outcome with numerical solutions."
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