An outbreak of zombies infecting humans is likely to be disastrous, unless extremely aggressive tactics are employed against the undead. While aggressive quarantine may eradicate the infection, this is unlikely to happen in practice. A cure would only result in some
humans surviving the outbreak, although they will still coexist with zombies. Only suf-
ficiently frequent attacks, with increasing force, will result in eradication, assuming the
available resources can be mustered in time.
Furthermore, these results assumed that the timescale of the outbreak was short, so that
the natural birth and death rates could be ignored. If the timescale of the outbreak increases,
then the result is the doomsday scenario: an outbreak of zombies will result in the collapse
of civilisation, with every human infected, or dead. This is because human births and
deaths will provide the undead with a limitless supply of new bodies to infect, resurrect
and convert. Thus, if zombies arrive, we must act quickly and decisively to eradicate them
before they eradicate us.
The key difference between the models presented here and other models of infectious
disease is that the dead can come back to life. Clearly, this is an unlikely scenario if taken
literally, but possible real-life applications may include allegiance to political parties, or
diseases with a dormant infection.
This is, perhaps unsurprisingly, the first mathematical analysis of an outbreak of zombie infection. While the scenarios considered are obviously not realistic, it is nevertheless
instructive to develop mathematical models for an unusual outbreak. This demonstrates
the flexibility of mathematical modelling and shows how modelling can respond to a wide
variety of challenges in ‘biology’.
In summary, a zombie outbreak is likely to lead to the collapse of civilisation, unless it
is dealt with quickly. While aggressive quarantine may contain the epidemic, or a cure may
lead to coexistence of humans and zombies, the most effective way to contain the rise of
the undead is to hit hard and hit often. As seen in the movies, it is imperative that zombies
are dealt with quickly, or else we are all in a great deal of trouble