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- W2120736629 abstract "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, that coincidence can be achieved with asymptotically high probability until MN infections have occurred, as long as MN = o(N2/3), where N denotes the total number of hosts." @default.
- W2120736629 created "2016-06-24" @default.
- W2120736629 creator A5059543900 @default.
- W2120736629 date "2008-12-15" @default.
- W2120736629 modified "2023-10-03" @default.
- W2120736629 title "Coupling a branching process to an infinite dimensional epidemic process" @default.
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- W2120736629 doi "https://doi.org/10.1051/ps:2008023" @default.
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