Phase transition for a contact process with random slowdowns

Abstract

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 generalised 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.

27 pages, 3 figures, 4 tables ; corrected typos, improved clarity, results unchanged

References in corpus (4)

• Spin Transfer Torques in MnSi at Ultra-low Current Densities
• Quantum Theory of Helimagnetic Thin Films
• Spin-Transfer Torque in Helical Spin-Density Waves
• Helimagnetic thin films: surface reconstruction, surface spin-waves and magnetization

Cited by in corpus (1)

• A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volume