PMID: 22587049May 17, 2012Paper

Propagation on networks: an exact alternative perspective

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Pierre-André NoëlLouis J Dubé

Abstract

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 approximation 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.

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Citations

Dec 25, 2013·Journal of Mathematical Biology·Pierre-André NoëlLouis J Dubé
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jason HindesDavid J Schneider
Aug 17, 2018·Physical Review. E·Shenyu ZhouXiaofan Wang
Jul 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F AltarelliR Zecchina
Mar 4, 2014·Physical Review Letters·James P GleesonWilliam T Lee
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antoine AllardLouis J Dubé

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