6.2.1 Empirically Driven and Mechanistic Models
- Mechanistic, e.g., the SIR model (Susceptible, Infectious, Recovered), also known as a compartmental model.
- Based on explicit equations and known relationships between variables.
Differential equations for the SIR model:
\[\begin{cases} \frac{dS}{dt}=-\beta \frac{I}{N}S\\\\ \frac{dI}{dt}=\beta \frac{I}{N}S - \gamma I \\\\ \frac{dR}{dt}=\gamma I \end{cases}\]\(\beta\): infectiousness
\(N\): population size (\(S + I + R\))
\(\gamma\): recovery
Analogy of compartmental modelling using flow of water through buckets, KO Roster 2024