Epidemic Extinction and Control in Heterogeneous Networks.

@article{Hindes2016EpidemicEA,
  title={Epidemic Extinction and Control in Heterogeneous Networks.},
  author={Jason Hindes and Ira B. Schwartz},
  journal={Physical review letters},
  year={2016},
  volume={117 2},
  pages={
          028302
        }
}
We consider epidemic extinction in finite networks with a broad variation in local connectivity. Generalizing the theory of large fluctuations to random networks with a given degree distribution, we are able to predict the most probable, or optimal, paths to extinction in various configurations, including truncated power laws. We find that paths for heterogeneous networks follow a limiting form in which infection first decreases in low-degree nodes, which triggers a rapid extinction in high… CONTINUE READING
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