Inference for Ecological Dynamical Systems: A Case Study of Two Endemic Diseases
Figure 9
Estimated variance of the stationary process from measles and pertussis time series. Plotted on the -axis is the rate of infection () in years. Plotted on the -axis is the variance (). Plotted -axis is the reproductive rate of the disease (. One observes very small estimated values for pertussis (blue), hence one expects to see relatively small very noisy oscillations propagated through the attractor. In contrast, measles (red) exhibits more moderate estimated values . This implies that the stochastic fluctuations balance with the deterministic slow decay so that both stochastic and deterministic processes contribute the dynamics in terms of producing patterns of coherence resonance.
