{
  "id": "1002.1786",
  "version": "v1",
  "published": "2010-02-09T08:19:46.000Z",
  "updated": "2010-02-09T08:19:46.000Z",
  "title": "Coexistence Steady States in a Predator-Prey Model",
  "authors": [
    "Christoph Walker"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "An age-structured predator-prey system with diffusion and Holling-Tanner-type nonlinearities is considered. Regarding the intensity of the fertility of the predator as bifurcation parameter, we prove that a branch of positive coexistence steady states bifurcates from the marginal steady state with no prey. A similar result is obtained when the fertility of the prey varies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-09T08:19:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35B32",
      "92D25"
    ],
    "keywords": [
      "predator-prey model",
      "positive coexistence steady states bifurcates",
      "marginal steady state",
      "holling-tanner-type nonlinearities",
      "bifurcation parameter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.1786W"
    }
  }
}