Figure 3
From: Algorithmic discovery of dynamic models from infectious disease data
Comparison between measles incidence data and coefficients of the best SINDy-discovered model using a function library of polynomials up to 2nd order, and showing the model with the lowest AIC scores across the \({S}_{0}-\lambda \) parameter grid. The discovered model accurately replicates the biennium present in the data in both the susceptible and infection classes. It also identifies a strong dependence on the SI and βSI cross terms, the driving terms behind the mass action incidence mechanism present in the SIR model. The sparse regression excluded six terms, giving \(r=0.25\). \({S}_{0}=0.11286\) and \(\lambda =0.00517\). The parameter grids appear in SI Appendix, Fig. 5. The results in the table display the SINDy-discovered coefficients of the corresponding terms in (Eqs. 1–3).
