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Displaying similar documents to “Metastable behaviour of small noise Lévy-Driven diffusions”

Coupling a branching process to an infinite dimensional epidemic process

Andrew D. Barbour (2010)

ESAIM: Probability and Statistics

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Branching process approximation to the initial stages of an epidemic process has been used since the 1950's as a technique for providing stochastic counterparts to deterministic epidemic threshold theorems. One way of describing the approximation is to construct both branching and epidemic processes on the same probability space, in such a way that their paths coincide for as long as possible. In this paper, it is shown, in the context of a Markovian model of parasitic infection,...