• Corpus ID: 45955597

Two-scale multitype contact process: coexistence in spatially explicit metapopulations

  title={Two-scale multitype contact process: coexistence in spatially explicit metapopulations},
  author={Nicolas Lanchier},
  journal={arXiv: Probability},
  • N. Lanchier
  • Published 27 February 2010
  • Mathematics
  • arXiv: Probability
It is known that the limiting behavior of the contact process strongly depends upon the geometry of the graph on which particles evolve: while the contact process on the regular lattice exhibits only two phases, the process on homogeneous trees exhibits an intermediate phase of weak survival. Similarly, we prove that the geometry of the graph can drastically affect the limiting behavior of multitype versions of the contact process. Namely, while it is strongly believed (and partly proved) that… 

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