# Large-deviations of the SIR model around the epidemic threshold

@inproceedings{Feld2021LargedeviationsOT, title={Large-deviations of the SIR model around the epidemic threshold}, author={Yannick Feld and Alexander K. Hartmann}, year={2021} }

We numerically study the dynamics of the SIR disease model on small-world networks by using a large-deviation approach. This allows us to obtain the probability density function of the total fraction of infected nodes and of the maximum fraction of simultaneously infected nodes down to very small probability densities like 10 − 2500 . We analyze the structure of the disease dynamics and observed three regimes in all probability density functions, which correspond to quick mild, quick extremely…

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