Pierre Andre - Google Blog Search

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<b>Pierre</b>-<b>André</b> Noël et al. - blog*spot Posted: 02 Mar 2012 12:45 AM PST Pierre-André Noël, Antoine Allard, Laurent Hébert-Dufresne, Vincent Marceau, Louis J. Dubé By generating the specifics of a network structure only when needed (on-the-fly), we derive a simple stochastic process that exactly models the time evolution of susceptible-infectious dynamics on finite-size networks. The small number of dynamical variables of this birth-death Markov process greatly simplifies analytical calculations. We show how a dual analytical description, treating large scale epidemics with a Gaussian approximations and small outbreaks with a branching process, provides an accurate approximation of the distribution even for rather small networks. The approach also offers important computational advantages and generalizes to a vast class of systems. View original: http://arxiv.org/abs/1102.0987

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