Epidemiological modeling uses differential equations and network theory to predict how infectious diseases spread through human populations. The foundational SIR model partitions a population into Susceptible, Infected, and Recovered compartments, producing the characteristic epidemic curve that public health officials use to plan interventions. From this simple framework, increasingly sophisticated models incorporate vaccination, contact tracing, spatial structure, and behavioral responses.
These simulations let you watch an SIR epidemic unfold in real time, calculate the vaccination threshold needed for herd immunity, trace contacts through a social network, observe how superspreader events reshape outbreak dynamics, and explore why pandemics arrive in waves. Each artifact exposes the mathematical levers that determine whether an outbreak fizzles or becomes a catastrophe.