Epidemic Extinction and Control in Heterogeneous Networks

@article{Hindes2016EpidemicEA,
  title={Epidemic Extinction and Control in Heterogeneous Networks},
  author={J. Hindes and I. Schwartz},
  journal={Physical Review Letters},
  year={2016},
  volume={117}
}
  • J. Hindes, I. Schwartz
  • Published 2016
  • Computer Science, Medicine, Physics
  • Physical Review Letters
  • 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
    35 Citations

    Figures and Topics from this paper

    Enhancement of large fluctuations to extinction in adaptive networks.
    • 5
    • PDF
    Large order fluctuations, switching, and control in complex networks
    • 7
    • PDF
    Concurrency-induced transitions in epidemic dynamics on temporal networks
    • 23
    • PDF
    Hamiltonian dynamics of the SIS epidemic model with stochastic fluctuations
    • 8
    • PDF
    Persistence time of SIS infections in heterogeneous populations and networks
    • D. Clancy
    • Mathematics, Medicine
    • Journal of mathematical biology
    • 2018
    • 2
    • PDF
    Degree Dispersion Increases the Rate of Rare Events in Population Networks
    • 3
    • PDF
    Analytical treatment for cyclic three-state dynamics on static networks.
    Precise Estimates of Persistence Time for SIS Infections in Heterogeneous Populations
    • D. Clancy
    • Biology, Medicine
    • Bulletin of mathematical biology
    • 2018
    • 1
    • Highly Influenced
    • PDF

    References

    SHOWING 1-10 OF 51 REFERENCES
    Rare Event Extinction on Stochastic Networks
    • 18
    • PDF
    Extinction Times of Epidemic Outbreaks in Networks
    • 14
    • PDF
    Spread of epidemic disease on networks.
    • M. Newman
    • Medicine, Physics
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2002
    • 2,461
    • PDF
    Immunization of complex networks.
    • 926
    • PDF
    Epidemic spreading in scale-free networks.
    • 4,362
    • PDF
    Epidemic processes in complex networks
    • 1,672
    • PDF
    Localization and Spreading of Diseases in Complex Networks
    • 191
    • PDF
    Griffiths phases on complex networks.
    • 90
    • PDF