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

@article{Lanchier2010TwoscaleMC, title={Two-scale multitype contact process: coexistence in spatially explicit metapopulations}, author={Nicolas Lanchier}, journal={arXiv: Probability}, year={2010} }

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…

## 3 Citations

Global behavior of a two-stage contact process on complex networks

- MathematicsJ. Frankl. Inst.
- 2019

New Results for the Two-Stage Contact Process

- MathematicsJournal of Applied Probability
- 2015

In this paper, we continue the work started by Steve Krone on the two-stage contact process. We give a simplified proof of the duality relation and answer most of the open questions posed in Krone…

New Results for the Two-Stage Contact Process

- MathematicsJ. Appl. Probab.
- 2015

A simplified proof of the duality relation is given, and most of the open questions posed in the paper started by Steve Krone are answered.

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