Zombie math. Yay! (PDF. Boo!)
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. — Infectious Disease Modelling Research Progress
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PDF because it was a LaTeX file, and that's the easiest output to generate other than .dvi and .ps formats :) Most math journals request that the authors write in LaTeX, and send the raw .tex file in as the final draft. That way, the editors stick the journal's style class file in the header, and the article is instantly formatted to the journal's specifications (margins, citation styles, numbering, etc.).