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Researchers should cite this work as follows:

• Allen, R., Jens, C., Wendt, T. (2023). 2014-Allen-EtAl-Perturbations in Epidemiological Models -When zombies attack we can survive. SIMIODE, QUBES Educational Resources. doi:10.25334/5E1P-QK18

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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.

See https://www.researchgate.net/publication/277595069_Perturbations_in_Epidemiological_Models_When_zombies_attack_we_can_survive . Accessed 29 March 2023.

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