SIR Model for 2015 COMAP

We construct and analyze three models for the spread of ebola within a single city. One model was a standard Susceptible, Infected, Recovered (SIR) model with natural births and deaths (deaths not due to ebola) and deaths due to ebola. We then extended this model two other models that incorporated production and distribution of medicine. In order to compare the effectiveness of various courses of action described in each model we formulated a cost function to measure the total damage caused by the ebola outbreak. The cost function summed the costs due to loss of human life as well as the cost of producing and transporting medicine used to combat ebola.