{
  "id": "1706.06843",
  "version": "v1",
  "published": "2017-06-21T11:52:42.000Z",
  "updated": "2017-06-21T11:52:42.000Z",
  "title": "Optimal control of non-autonomous SEIRS models with vaccination and treatment",
  "authors": [
    "Joaquim P. Mateus",
    "Paulo Rebelo",
    "Silvério Rosa",
    "César M. Silva",
    "Delfim F. M. Torres"
  ],
  "comment": "This is a preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems -- Series S' (DCDS-S), ISSN 1937-1632 (print), ISSN 1937-1179 (online), available at [https://www.aimsciences.org/journals/home.jsp?journalID=15]. Paper Submitted 03-April-2017; Revised 20-June-2017; Accepted 21-June-2017",
  "categories": [
    "math.OC",
    "q-bio.PE"
  ],
  "abstract": "We study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with vaccination and treatment as control variables. We prove existence and uniqueness results for our problem and, for the case of mass-action incidence, we present some simulation results designed to compare an autonomous and corresponding periodic model, as well as the controlled versus uncontrolled models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-21T11:52:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34H05",
      "92D30",
      "37B55",
      "49M05"
    ],
    "keywords": [
      "non-autonomous seirs model",
      "vaccination",
      "optimal control problem",
      "control variables",
      "general function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}