BibSonomyburst/bibtex/136de3db49d73f0d006d554ffcd4b86e0BibSonomy RSS feed for /bibtex/136de3db49d73f0d006d554ffcd4b86e02012-02-17T15:55:31+01:00http://www.bibsonomy.org/bibtex/27a5dc6b7374c8394bc7653e64b8e790a/eboebo2009-07-03T02:50:54+02:00epi stochastic <span class="authorEditorList"><a href="/author/Ball">Frank Ball</a>, and <a href="/author/Donnelly">Peter Donnelly</a> </span><em>Stochastic Processes and their Applications</em> <em>55(1):1 - 21</em> (<em>1995</em>)Fri Jul 03 02:50:54 CEST 2009Stochastic Processes and their Applications11 - 21Strong approximations for epidemic models551995epi stochastic This paper is concerned with the approximation of early stages of epidemic processes by branching processes. A general model for an epidemic in a closed, homogeneously mixing population is presented. A construction of a sequence of such epidemics, indexed by the initial number of susceptibles N, from the limiting branching process is described. Strong convergence of the epidemic processes to the branching process is shown when the latter goes extinct. When the branching process does not go extinct, necessary and sufficient conditions on the sequence (tN) for strong convergence over the time interval [0, tN] are provided. Convergence of a wide variety of functionals of the epidemic process to corresponding functionals of the branching process is shown, and bounds are provided on the total variation distance for given N. The theory is illustrated by reference to the general stochastic epidemic. Generalisations to, for example, multipopulation epidemics are described briefly.ScienceDirect - Stochastic Processes and their Applications : Strong approximations for epidemic modelshttp://www.bibsonomy.org/bibtex/27a5dc6b7374c8394bc7653e64b8e790a/smichasmicha2008-04-22T14:25:45+02:00Coupling <span class="authorEditorList"><a href="/author/Ball">Frank Ball</a>, and <a href="/author/Donnelly">Peter Donnelly</a> </span><em>Stochastic Processes and their Applications</em> <em>55(1):1--21</em> (<em>January 1995</em>)Tue Apr 22 14:25:45 CEST 2008Stochastic Processes and their ApplicationsJan11--21Strong approximations for epidemic models551995Coupling Stochastic Processes and their Applications