Figure 8
From: Algorithmic discovery of dynamic models from infectious disease data
The SINDy measles biennium is robust to the addition of noise. This figure depicts the simulated timeseries of the SINDy measles model under additive noise: subpanels show the proportion of susceptible (a) and infected (c) individuals over time and the corresponding power spectral density plots for the susceptible (b) and infectious (d) time series. The power spectral density plots show strong power at a frequency of 0.5/year and a lesser peak at 1/year, corresponding to a prominent biennial cycle. White noise with a coefficient of \(1.5\times {10}^{-3}\) was added to the right-hand side of the SINDy-discovered system of differential equations to generate these plots. See Methods for details about computation of the power spectral density.
