Student Author Information

Hailey BauerFollow

Access Type

Open Access

Presentation Type

Oral Presentation

Start Date

April 2019

Department

Mathematics

Abstract

Mathematical models are systems using mathematical concepts to explain various problems. Mathematical models examine realistic issues such as the different outcomes of wars and fictional problems such as the upcoming zombie apocalypse. The original predictor models of warfare were the Lanchester models, while the zombie apocalypse is a fictional expansion upon mathematical models for infectious diseases. In this paper, we examined and compared the basic versions of these dynamic models by analyzing each model’s set of variables, assumptions, and objectives. The basic versions of the Lanchester equations are the area aimed model and the aimed fire model. While the zombie model examines the possibility of a Susceptible Zombie Removed model (SZR) and a Susceptible Infected Zombie Removed model (SIZR). The purpose of this study is to understand the basics of the dynamic models and to see if the knowledge of realistic models, such as the Lanchester models, can improve the model for hypothetical situations, such as the zombie apocalypse.

Faculty Mentor(s)

Dr. Leslie Hatfield; Dr. Beth Savage; Dr. Douglas Thomasey; Dr. Barry Lobb

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Apr 10th, 1:15 PM

Mathematical Modeling: Lanchester Equations and the Zombie Apocalypse

Mathematical models are systems using mathematical concepts to explain various problems. Mathematical models examine realistic issues such as the different outcomes of wars and fictional problems such as the upcoming zombie apocalypse. The original predictor models of warfare were the Lanchester models, while the zombie apocalypse is a fictional expansion upon mathematical models for infectious diseases. In this paper, we examined and compared the basic versions of these dynamic models by analyzing each model’s set of variables, assumptions, and objectives. The basic versions of the Lanchester equations are the area aimed model and the aimed fire model. While the zombie model examines the possibility of a Susceptible Zombie Removed model (SZR) and a Susceptible Infected Zombie Removed model (SIZR). The purpose of this study is to understand the basics of the dynamic models and to see if the knowledge of realistic models, such as the Lanchester models, can improve the model for hypothetical situations, such as the zombie apocalypse.