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Mathematically modeling the spread of disease in a population is a focus among epidemiologists. Using an SIR model (susceptible, infected, and recovered), we can create a system of differential equations to help better understand how a disease spreads in a simple environment. However, if we are to create a more realistic environment, computer simulations may be necessary. We can use the results from these simulations to try and find ways to eradicate the disease as efficiently as possible. In this poster, we will present the SIR model, present a system of differential equations that describe the movement of disease in the SIR model, configure and analyze the results of a computer simulation which models and extends the SIR model to create a more realistic environment for the disease to spread, and discuss limitations and future research for this topic.
Class: Math 488 – Senior Capstone
Grand Forks, ND
mathematical modeling, disease spread
Hollister, James, "Modeling the Spread of Disease" (2018). Essential Studies UNDergraduate Showcase. 20.