Propagation on networks: an exact alternative perspective

Details Propagation on networks: an exact alternative perspective Propagation on networks: an exact alternative perspective

2011-02-04

arxiv.org/abs/1102.0987v3

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

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.

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