{
  "id": "1907.12662",
  "version": "v1",
  "published": "2019-07-29T21:35:29.000Z",
  "updated": "2019-07-29T21:35:29.000Z",
  "title": "Metastability for the contact process with two types of particles and priorities",
  "authors": [
    "Mariela Pentón Machado"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a symmetric finite-range contact process on $\\mathbb{Z}$ with two types of particles (or infections), which propagate according to the same supercritical rate and die (or heal) at rate $1$. Particles of type 1 can occupy any site in $(-\\infty, 0]$ that is empty or occupied by a particle of type 2 and, analogously, particles of type 2 can occupy any site in $[1,+\\infty)$ that is empty or occupied by a particle of type 1. We consider the model restricted to a finite interval $[-N + 1,N] \\cap \\mathbb{Z}$. If the initial configuration is $\\mathbf{1}_ {(-N,0]}+2\\mathbf{1}_{[1,N)}$, we prove that this system exhibits two metastable states: one with the two species and the other one with the family that survives the competition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-29T21:35:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B43"
    ],
    "keywords": [
      "metastability",
      "priorities",
      "symmetric finite-range contact process",
      "finite interval",
      "initial configuration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}