English

Phase transition for a contact process with random slowdowns

Probability 2015-08-27 v2

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.

Keywords

Cite

@article{arxiv.1501.00921,
  title  = {Phase transition for a contact process with random slowdowns},
  author = {Kevin Kuoch},
  journal= {arXiv preprint arXiv:1501.00921},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T07:51:26.887Z