This post demonstrates the dynamics involved in a susceptible, infected, and recovering (SIR) model previous post for the model. The shiny ui and server code can be found on GitHub. of dynamic programming.
As a dynamic infection model, I find it particularly satisfying to be able change parameters and observe instantaneously changes in predicted outcomes.
This is a very simple model. However, there are many interesting models feasible that use this basic structure. A more involved though fundamentally no more complex model might consider a simulation in which there are multiple sub-populations with different contact rates and transmission rates. How might an optimal intervention be positioned in order to minimize total population exposure?