2014-Allen, Robert F., Cassandra Jens, and Theodore J. Wendt - Perturbations in Epidemiological Models: When zombies attack, we can survive!
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Allen, Robert F., Cassandra Jens, and Theodore J. Wendt. 2014. Perturbations in Epidemiological Models: When zombies attack, we can survive! Letters in Biomathematics. 1(2): 173-180.
Abstract: In this paper, we investigate the existence of stability-changing bifurcations in epidemiological models used to study the spread of zombiism through a human population. These bifurcations show that although linear instability of disease free equilibria may exist in a model, perturbations of model parameters may result in stability. Thus, we show that humans can survive a zombie outbreak.
Keywords: differential equation, models, epidemiology, dynamical systems, zombies, difference equations, equilibrium, stability, perturbation
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