{
  "id": "1103.1923",
  "version": "v1",
  "published": "2011-03-10T00:37:59.000Z",
  "updated": "2011-03-10T00:37:59.000Z",
  "title": "Dengue disease, basic reproduction number and control",
  "authors": [
    "Helena Sofia Rodrigues",
    "M. Teresa T. Monteiro",
    "Delfim F. M. Torres",
    "Alan Zinober"
  ],
  "comment": "This is a preprint of a paper whose final and definitive form has appeared in International Journal of Computer Mathematics (2011), DOI: 10.1080/00207160.2011.554540",
  "journal": "Int. J. Comput. Math. 89 (2012), no. 3, 334--346",
  "doi": "10.1080/00207160.2011.554540",
  "categories": [
    "math.OC",
    "cs.SY",
    "physics.med-ph",
    "q-bio.OT"
  ],
  "abstract": "Dengue is one of the major international public health concerns. Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to fight the disease is vector control. A model for the transmission of Dengue disease is presented. It consists of eight mutually exclusive compartments representing the human and vector dynamics. It also includes a control parameter (insecticide) in order to fight the mosquito. The model presents three possible equilibria: two disease-free equilibria (DFE) and another endemic equilibrium. It has been proved that a DFE is locally asymptotically stable, whenever a certain epidemiological threshold, known as the basic reproduction number, is less than one. We show that if we apply a minimum level of insecticide, it is possible to maintain the basic reproduction number below unity. A case study, using data of the outbreak that occurred in 2009 in Cape Verde, is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-10T00:37:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "92B05",
      "93C95",
      "93D20"
    ],
    "keywords": [
      "basic reproduction number",
      "dengue disease",
      "major international public health concerns",
      "equilibrium",
      "cape verde"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.1923R"
    }
  }
}