A Population and Its Diseases: A Mathematical Model for the Spread of Disease in a Population
By Andrew Grafenauer

Abstract:  When a disease is introduced into a population, many factors determine the spread and duration of the disease. The goal of this project was to model the spread of a disease through a population using a system of three differential equations and three variables. Using the system of equations and a range of values for our variables we were able to predict the path of the disease through the population.

The Single Transferable Vote System
By Audrey Brayman

Abstract:  We examine positional voting using the single transferable vote (STV) method.

One fish, Two fish, Red fish, Blue fish
By Mike Kangas

Abstract: We will examine the probabilities involved in a system with two possible outcomes, and present some related research.

Killer’s Instinct: Exploring Predator-Prey Models
By Benjamin Burch

Abstract: Using Mathematica, we are using differential equations to model curves of pursuit in a predator-prey situation. This information is then graphed in an area of a plane where the time it takes for the predator to catch is represented by a shade of grey. We will be exploring the properties of these curves of pursuit via these graphs.

How to Avoid the Defense
By James Beaman and Andrew Hoelting

Abstract: We will find the best way for an offensive football player to get away from a defensive player using Runga-Kutta method to approximate the differential equations for curves of pursuit.

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