{
  "id": "1506.08943",
  "version": "v1",
  "published": "2015-06-30T05:55:29.000Z",
  "updated": "2015-06-30T05:55:29.000Z",
  "title": "Permanence and extinction of regime-switching predator-prey models",
  "authors": [
    "Jianhai Bao",
    "Jinghai Shao"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this work we study the permanence and extinction of a regime-switching predator-prey model with Beddington-DeAngelis functional response. The switching process is used to describe the random changing of corresponding parameters such as birth and death rates of a species in different environments. Our criteria can justify whether a prey die out or not when it will die out in some environments and will not in others. Our criteria are rather sharp, and they cover the known on-off type results on permanence of predator-prey models without switching. Our method relies on the recent study of ergodicity of regime-switching diffusion processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-30T05:55:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "92D25",
      "60J60"
    ],
    "keywords": [
      "regime-switching predator-prey model",
      "permanence",
      "extinction",
      "beddington-deangelis functional response",
      "on-off type results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}