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Equations of the End: Teaching Mathematical Modeling Using the Zombie Apocalypse

    Authors: Eric T. Lofgren1,*, Kristy M. Collins2, Tara C. Smith3, Reed A. Cartwright4
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    Affiliations: 1: Network Dynamics and Simulation Science Laboratory, Biocomplexity Institute of Virginia Tech, Virginia Tech, Blacksburg, VA 24061; 2: Biocomplexity Institute of Virginia Tech, Virginia Tech, Blacksburg, VA 24061; 3: College of Public Health, Kent State University, Kent, OH 44242; 4: School of Life Sciences and the Biodesign Institute, Arizona State University, Tempe, AZ 85287
    AUTHOR AND ARTICLE INFORMATION AUTHOR AND ARTICLE INFORMATION
    • Published 01 March 2016
    • ©2016 Author(s). Published by the American Society for Microbiology.
    • [open-access] This is an Open Access article distributed under the terms of the Creative Commons Attribution-Noncommercial-NoDerivatives 4.0 International license (https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode), which grants the public the nonexclusive right to copy, distribute, or display the published work.

    • Supplemental materials available at http://jmbe.asm.org
    • *Corresponding author. Mailing address: Paul G. Allen School for Global Animal Health, 240 SE Ott Road, Room 311, Washington State University, Pullman, WA 99164. Phone: 303-912-2595. Fax: 509-335-6328. E-mail: [email protected].
    Source: J. Microbiol. Biol. Educ. March 2016 vol. 17 no. 1 137-142. doi:10.1128/jmbe.v17i1.1066
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    Abstract:

    Mathematical models of infectious diseases are a valuable tool in understanding the mechanisms and patterns of disease transmission. It is, however, a difficult subject to teach, requiring both mathematical expertise and extensive subject-matter knowledge of a variety of disease systems. In this article, we explore several uses of zombie epidemics to make mathematical modeling and infectious disease epidemiology more accessible to public health professionals, students, and the general public. We further introduce a web-based simulation, White Zed (http://cartwrig.ht/apps/whitezed/), that can be deployed in classrooms to allow students to explore models before implementing them. In our experience, zombie epidemics are familiar, approachable, flexible, and an ideal way to introduce basic concepts of infectious disease epidemiology.

Key Concept Ranking

Infectious Diseases
0.8057098
Animal Reservoir
0.5665815
Asymptomatic Carriers
0.53125
Incubation Period
0.45406482
Herd Immunity
0.41501346
0.8057098

References & Citations

1. Anderson PWS 2002 Resident Evil Constantin Film
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2016-03-01
2019-10-15

Abstract:

Mathematical models of infectious diseases are a valuable tool in understanding the mechanisms and patterns of disease transmission. It is, however, a difficult subject to teach, requiring both mathematical expertise and extensive subject-matter knowledge of a variety of disease systems. In this article, we explore several uses of zombie epidemics to make mathematical modeling and infectious disease epidemiology more accessible to public health professionals, students, and the general public. We further introduce a web-based simulation, White Zed (http://cartwrig.ht/apps/whitezed/), that can be deployed in classrooms to allow students to explore models before implementing them. In our experience, zombie epidemics are familiar, approachable, flexible, and an ideal way to introduce basic concepts of infectious disease epidemiology.

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Figures

Image of FIGURE 1

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FIGURE 1

Schematic representation of two models used during one-day modeling workshop. Panel A depicts a simple “SZR” model, wherein the population is divided into three compartments: Susceptible (S), Zombies (Z), and Removed (R). Panel B depicts a more complex model, adding compartments for individuals who have been infected but not yet turned into zombies (E), susceptible individuals who have found shelter (H), and zombies who were killed during interactions with susceptible individuals (K).

Source: J. Microbiol. Biol. Educ. March 2016 vol. 17 no. 1 137-142. doi:10.1128/jmbe.v17i1.1066
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Image of FIGURE 2

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FIGURE 2

Screenshot of the White Zed simulation website. The graph displays population dynamics of a zombie apocalypse. The left control panel allows users to specify the population makeup at the beginning of the simulation, while the right control panel allows users to specify the infection parameters of the disease.

Source: J. Microbiol. Biol. Educ. March 2016 vol. 17 no. 1 137-142. doi:10.1128/jmbe.v17i1.1066
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