{
  "id": "1510.02704",
  "version": "v1",
  "published": "2015-10-09T15:24:00.000Z",
  "updated": "2015-10-09T15:24:00.000Z",
  "title": "Colonization and Collapse",
  "authors": [
    "Fábio Prates Machado",
    "Alejandro Roldán-Correa",
    "Rinaldo B. Schinazi"
  ],
  "comment": "1 figure",
  "categories": [
    "math.PR"
  ],
  "abstract": "Many species live in colonies that thrive for a while and then collapse. Upon collapse very few individuals survive. The survivors start new colonies at other sites that thrive until they collapse, and so on. We introduce a spatial stochastic process on graphs for modeling such population dynamic. We obtain conditions for the population to get extinct or to survive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-09T15:24:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60G50"
    ],
    "keywords": [
      "colonization",
      "spatial stochastic process",
      "survivors start",
      "population dynamic",
      "individuals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}