{
  "id": "1302.1132",
  "version": "v1",
  "published": "2013-02-05T17:52:04.000Z",
  "updated": "2013-02-05T17:52:04.000Z",
  "title": "An extension of the Wright's 3/2-theorem for the KPP-Fisher delayed equation",
  "authors": [
    "Karel Hasik",
    "Sergei Trofimchuk"
  ],
  "comment": "8 pages, submitted",
  "categories": [
    "math.CA"
  ],
  "abstract": "We present a short proof of the following natural extension of the famous Wright's 3/2-stability theorem: the conditions $\\tau \\leq 3/2, \\ c \\geq 2$ imply the presence of the positive traveling fronts (not necessarily monotone) $u = \\phi(x\\cdot \\nu+ct), \\ |\\nu| =1,$ in the delayed KPP-Fisher equation $u_t(t,x) = \\Delta u(t,x) + u(t,x)(1-u(t-\\tau,x))$, $u\\geq 0,$ $x \\in \\R^m.$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-05T17:52:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K10",
      "35K57",
      "92D25"
    ],
    "keywords": [
      "kpp-fisher delayed equation",
      "delayed kpp-fisher equation",
      "short proof",
      "natural extension",
      "famous wrights"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.1132H"
    }
  }
}