{
  "id": "0904.2472",
  "version": "v1",
  "published": "2009-04-16T12:01:30.000Z",
  "updated": "2009-04-16T12:01:30.000Z",
  "title": "Global stability of a partial differential equation with distributed delay due to cellular replication",
  "authors": [
    "Mostafa Adimy",
    "Fabien Crauste"
  ],
  "journal": "Nonlinear Analysis Theory Methods and Applications 54, 8 (2003) 1469-1491",
  "doi": "10.1016/S0362-546X(03)00197-4",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we investigate a nonlinear partial differential equation, arising from a model of cellular proliferation. This model describes the production of blood cells in the bone marrow. It is represented by a partial differential equation with a retardation of the maturation variable and a distributed temporal delay. Our aim is to prove that the behaviour of primitive cells influences the global behaviour of the population.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-16T12:01:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global stability",
      "cellular replication",
      "distributed delay",
      "nonlinear partial differential equation",
      "cellular proliferation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.2472A"
    }
  }
}