Epidemiological Modeling

STEM comes with implementations for three types of disease models. These are conventionally labeled by the acronyms: SI, SIR, and SEIR. The acronyms reflect the states a population member can be in, as represented in the model. Where "S" corresponds to the "Susceptible" state and represents population members who could be infected by the disease. The letter "I" corresponds to the "Infectious" state and represents population members that have the disease and can transmit (i.e., infect) it to others (in the Susceptible state). The letter "R" corresponds to the "Recovered" state and represents population members who have had the disease and are now no longer infectious. The letter "E" corresponds to the "Exposed" disease state and represents population members who have the disease, but who are not yet infectious.

Need state diagrams and short descriptions for each of the models. We also need detailed descriptions of the the parameters that control each disease model.

The Stochastic models need to be documented here when they are available.

Below are detailed descriptions (extracted from the code) of the mathematics implemented in STEM for each of the models.