{
  "id": "1808.08159",
  "version": "v1",
  "published": "2018-08-24T14:32:56.000Z",
  "updated": "2018-08-24T14:32:56.000Z",
  "title": "A heterogeneous spatial model in which savanna and forest coexist in a stable equilibrium",
  "authors": [
    "Rick Durrett",
    "Ruibo Ma"
  ],
  "comment": "10 pages, only LaTeX drawn figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "In work with a variety of co-authors, Staver and Levin have argued that savannah and forest coexist as alternative stable states with discontinuous changes in density of trees at the boundary. Here we formulate a nonhomogeneous spatial model of the competition between forest and savannah. We prove that coexistence occurs for a time that is exponential in the size of the system, and that after an initial transient, boundaries between the alternative equilibria remain stable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-24T14:32:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "heterogeneous spatial model",
      "forest coexist",
      "stable equilibrium",
      "nonhomogeneous spatial model",
      "coexistence occurs"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}