As we learn more about the frequency and size distribution of exoplanets, we are discovering that terrestrial planets are exceedingly common. The distribution of orbital periods in turn results in many of these planets being the occupants of the Habitable Zone of their host stars. Here we show that a conclusion of prevalent life in the universe presents a serious danger due to the risk of spreading Spontaneous Necro-Animation Psychosis (SNAP), or Zombie-ism. We quantify the extent of the danger posed to Earth through the use of the Zombie Drake Equation and show how this serves as a possible explanation for the Fermi Paradox. We demonstrate how to identify the resulting necro-signatures present in the atmospheres where a zombie apocalypse may have occurred so that the risk may be quantified. We further argue that it is a matter of planetary defense and security that we carefully monitor and catalog potential SNAP-contaminated planets in order to exclude contact with these worlds in a future space-faring era.