Super-exponential extinction time of the contact process on random geometric graphs

van Hao Can (1)

1 I2M - Institut de Mathématiques de Marseille

In this paper, we prove lower and upper bounds for the extinction time of the contact process on random geometric graphs with connecting radius tending to infinity. We obtain that for any infection rate $\lambda >0$, the contact process on these graphs survives a time super-exponential in the number of vertices.

Mots clés: extinction time; contact process; random geometric graph.

Domaines: Probabilités [math.PR]

van Hao Can. Super-exponential extinction time of the contact process on random geometric graphs. 2015. ⟨hal-01160633v2⟩