In the large-population limit, an epidemic with last-infection memory converges to an age-and-trait PDE, and an endemic equilibrium exists when a susceptibility-weighted reproduction number crosses a threshold derived from the model curves.
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A stochastic epidemic model with memory of the last infection and waning immunity
In the large-population limit, an epidemic with last-infection memory converges to an age-and-trait PDE, and an endemic equilibrium exists when a susceptibility-weighted reproduction number crosses a threshold derived from the model curves.