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The population biology of infectious diseases (abstract only)

In this poster, we are looking at differential equations that model a population with an infectious disease. Three different types of models are shown. The first model is the most primitive model, which does not effectively show how the population is spread in the population or does not take into account how difficult it would be to measure a viral population. The SIR model splits the population into three distinct categories: susceptible, infected, and removed. The SIRS model is similar except that individuals can return to the susceptible population after recovering from the virus. The SIRS model is further analyzed and a graph of the equilibrium points and nullclines.