Perturbations in Epidemiological Models

When zombies attack, we can survive!

Authors

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

DOI:

https://doi.org/10.30707/LiB1.2Allen

Keywords:

epidemiology, dynamical systems, zombies

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.

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Published

2023-11-11

Issue

Section

Research

How to Cite

Perturbations in Epidemiological Models: When zombies attack, we can survive!. (2023). Letters in Biomathematics, 1(2), 173-180. https://doi.org/10.30707/LiB1.2Allen

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