{
  "id": "1701.04083",
  "version": "v1",
  "published": "2017-01-15T17:36:05.000Z",
  "updated": "2017-01-15T17:36:05.000Z",
  "title": "Null controllability of a cascade model in population dynamics",
  "authors": [
    "Bedr'Eddine Ainseba",
    "Younes Echarroudi",
    "Lahcen Maniar"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, we are concerned with the null controllability of a linear population dynamics cascade systems (or the so-called prey-predator models) with two different dispersion coefficients which degenerate in the boundary and with one control force. We develop first a Carleman type inequality for its adjoint system, and then an observability inequality which allows us to deduce the existence of a control acting on a subset of the space domain which steers both populations of a certain age to extinction in a finite time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-15T17:36:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K65",
      "92D25",
      "93B05",
      "93B07"
    ],
    "keywords": [
      "null controllability",
      "cascade model",
      "linear population dynamics cascade systems",
      "carleman type inequality",
      "observability inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}