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.
@article{arxiv.2207.12195,
title = {Perturbations in epidemiological models: When zombies attack, we can survive!},
author = {Robert F. Allen and Cassandra Jens and Theodore J. Wendt},
journal= {arXiv preprint arXiv:2207.12195},
year = {2022}
}