Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization.

@article{Fu2008EpidemicDO,
  title={Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization.},
  author={Xinchu Fu and Michael Small and David M. Walker and Haifeng Zhang},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2008},
  volume={77 3 Pt 2},
  pages={036113}
}
We examine epidemic thresholds for disease spread using susceptible-infected-susceptible models on scale-free networks with variable infectivity. Infectivity between nodes is modeled as a piecewise linear function of the node degree (rather than the less realistic linear transformation considered previously). With this nonlinear infectivity, we derive conditions for the epidemic threshold to be positive. The effects of various immunization schemes including ring and targeted vaccination are… CONTINUE READING
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