Coupling a branching process to an infinite dimensional epidemic process

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dc.creatorBarbour, A. D.
dc.date2007-10-19
dc.date.accessioned2026-07-07T08:37:20Z
dc.date.available2026-07-07T08:37:20Z
dc.descriptionBranching 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 o(N^{2/3}) infections have occurred, where N denotes the total number of hosts.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0710.3697
dc.identifierhttp://arxiv.org/abs/0710.3697
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140367
dc.subjectProbability
dc.subjectPopulations and Evolution
dc.subject92D30, 60J85
dc.titleCoupling a branching process to an infinite dimensional epidemic process
dc.typetext

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