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Analytical (a–c) and simulation (d–e) results for the (a,d) dominant period of stochastic fluctuations about the endemic fixed point, (b,e) amplification and (c,f) coherence. The black stairstep graph bounds the grey region where all simulations went extinct within 500 years. Approximate parameter values for measles and rubella are depicted as dashed circles. Parameters: ε = 0, μ = 0.02 1 y−1 and N = 106.
