Spreading with immunization in high dimensions

@article{Dammer2004SpreadingWI,
  title={Spreading with immunization in high dimensions},
  author={Stephan M. Dammer and Haye Hinrichsen},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2004},
  volume={2004},
  pages={07011}
}
  • S. Dammer, H. Hinrichsen
  • Published 25 May 2004
  • Mathematics
  • Journal of Statistical Mechanics: Theory and Experiment
We investigate a model of epidemic spreading with partial immunization which is controlled by two probabilities, namely, for first infections, p0, and for reinfections, p. When the two probabilities are equal, the model reduces to directed percolation, while for perfect immunization one obtains the general epidemic process belonging to the universality class of dynamical percolation. We focus on the critical behaviour in the vicinity of the directed percolation point, especially for high number… 
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