Abstract
Abstract Deterministic and Stochastic epidemic models are described and various aspects of long‐term behavior are contrasted. The threshold predicted by the deterministic model is a poor approximation to the stochastic analogue. Damped oscillations given by the deterministic model are seen when stochastic models are averaged over realizations, but not for individual realizations. Extinction is seen only in stochastic models, with a probability dependent on population size.
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