Exponential extinction time of the contact process on rank-one inhomogeneous random graphs

van Hao Can (1)

1 I2M - Institut de Mathématiques de Marseille

We show that the contact process on the rank-one inhomogeneous random graphs and Erdos-Rényi graphs with mean degree large enough survives a time exponential in the size of these graphs for any positive infection rate. In addition, a metastable result for the extinction time is also proved.

Mots clés: Contact process; inhomogeneous random graphs; Erdos-R\'enyi random graphs; extinction time.

Domaines: Probabilités [math.PR]; Combinatoire [math.CO]

van Hao Can. Exponential extinction time of the contact process on rank-one inhomogeneous random graphs . 2017. ⟨hal-01267122v2⟩