Zombies are popularly presented in media as resulting from an infectious outbreak. Various modeling assumptions for zombification as an infectious disease are discussed. Populations during the outbreak are then modeled with infectious disease compartment models accounting for various effects such as latent infectious populations, quarantining, etc. Equilibrium and stability conditions for these dynamics are determined, as well as the feasibility of achieving these conditions during a potential zombie outbreak. Compartment models of zombification are extended to spatially-distributed population models, allowing for modeling of mobile human and zombie populations within a spatial domain. Various modeling assumptions for spatial interactions are discussed, as well as numerical and implementation details to achieve accurate and efficient simulations of these systems of discretized partial differential equations.

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