Perturbations in Epidemiological Models

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

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: epidemiology ,dynamical systems ,zombies

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