{
  "id": "0902.2946",
  "version": "v1",
  "published": "2009-02-17T16:38:27.000Z",
  "updated": "2009-02-17T16:38:27.000Z",
  "title": "Positive Equilibrium Solutions for Age and Spatially Structured Population Models",
  "authors": [
    "Christoph Walker"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The existence of positive equilibrium solutions to age-dependent population equations with nonlinear diffusion is studied in an abstract setting. By introducing a bifurcation parameter measuring the intensity of the fertility it is shown that a branch of (positive) equilibria bifurcates from the trivial equilibrium. In some cases the direction of bifurcation is analyzed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-17T16:38:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55",
      "35K90",
      "92D25"
    ],
    "keywords": [
      "spatially structured population models",
      "positive equilibrium solutions",
      "age-dependent population equations",
      "bifurcation parameter",
      "nonlinear diffusion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.2946W"
    }
  }
}