PHASE TRANSITION FOR A CONTACT PROCESS WITH RANDOM SLOWDOWNS

Kevin Kuoch (1)

1 MAP5 - UMR 8145 - Mathématiques Appliquées Paris 5

Motivated by a model of an area-wide integrated pest management, we develop an interacting particle system evolving in a random environment. It is a gen-eralized contact process in which the birth rate takes two possible values, determined either by a dynamic or a static random environment. Our goal is to understand the phase diagram of both models by identifying the mechanisms that permit coexistence or extinction of the process.

Mots clés: Interacting particle systems; contact process; percolation; phase transition; random environment.

Domaines: Probabilités [math.PR]

Kevin Kuoch. PHASE TRANSITION FOR A CONTACT PROCESS WITH RANDOM SLOWDOWNS. 2015. ⟨hal-01100145v1⟩