Abstract SUK4 Part2 Henry

WHEN ZOMBIES ATTACK!:!

MATHEMATICAL MODELLING OF AN OUTBREAK OF

ZOMBIE INFECTION! !

Humanity is desperately trying to fight against zombies in science fiction novels and films nowadays. Therefore, it is the purpose of this paper to model mathematically the outcome of a zombie outbreak in the real world. The models are established on the basis of the popular-culture zombie with the timescale of the outbreak being short, so that the natural birth and death rates could be ignored. The interaction between zombies and humans in the mathematical models is calculated with the help of Euler’s method for solving ordinary differential equations. According to the Basic Model, the Model with Latent Infection and the Model with Quarantine, humans will be eradicated completely, but in the case of the last two models it will take a little longer. It has been found out that the Model with Treatment is the only one giving low numbers of humans a chance to remain humans or to be treated once they are infected; still, the cure does not provide immunity and the human will again become susceptible. The results show that in case of a zombie outbreak luck is not on the humans’ side, unless an effective destructive strategy is immediately employed against the walking dead. Otherwise, the invasion of zombies will lead to the collapse of the civilisation, as large numbers of people will be either zombified or dead.

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