Robert F. Allen
Department of Mathematics, University of Wisconsin-La Crosse, La Crosse, WI
Cassandra Jens
Department of Mathematics, University of Wisconsin-La Crosse, La Crosse, WI
Theodore J. Wendt
Department of Mathematics, Carroll College, Helena, MT
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.