{
  "id": "1006.5931",
  "version": "v1",
  "published": "2010-06-30T17:27:34.000Z",
  "updated": "2010-06-30T17:27:34.000Z",
  "title": "Control of dengue disease: a case study in Cape Verde",
  "authors": [
    "Helena Sofia Rodrigues",
    "M. Teresa T. Monteiro",
    "Delfim F. M. Torres",
    "Alan Zinober"
  ],
  "comment": "7 pages, 4 figures. Presented at the 10th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2010), Almeria (Andalucia), Spain, June 26-30 2010",
  "journal": "Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010, Almeria 27-30 June 2010, pp. 816--822",
  "categories": [
    "math.OC",
    "q-bio.PE"
  ],
  "abstract": "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 (adulticide spray) in order to combat the mosquito. The model presents three possible equilibria: two disease-free equilibria (DFE) --- where humans, with or without mosquitoes, live without the disease --- and another endemic equilibrium (EE). In the literature 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 a minimum level of insecticide is applied, then it is possible to maintain the basic reproduction number below unity. A case study, using data of the outbreak that occured in 2009 in Cape Verde, is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-30T17:27:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "92B05",
      "93C95",
      "93D20"
    ],
    "keywords": [
      "case study",
      "cape verde",
      "dengue disease",
      "basic reproduction number",
      "disease-free equilibria"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.5931S"
    }
  }
}