Phase transitions in the quadratic contact process on complex networks.

@article{Varghese2013PhaseTI,
  title={Phase transitions in the quadratic contact process on complex networks.},
  author={Chris Varghese and Richard Durrett},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={87 6},
  pages={062819}
}
The quadratic contact process (QCP) is a natural extension of the well-studied linear contact process where infected (1) individuals infect susceptible (0) neighbors at rate λ and infected individuals recover (1→0) at rate 1. In the QCP, a combination of two 1's is required to effect a 0→1 change. We extend the study of the QCP, which so far has been limited to lattices, to complex networks. We define two versions of the QCP: vertex-centered (VQCP) and edge-centered (EQCP) with birth events 1-0… CONTINUE READING