{
  "id": "2306.03456",
  "version": "v1",
  "published": "2023-06-06T07:20:47.000Z",
  "updated": "2023-06-06T07:20:47.000Z",
  "title": "Description of trajectories of an evolution operator generated by mosquito population",
  "authors": [
    "Z. S. Boxonov"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we study discrete-time dynamical systems generated by evolution operator of mosquito population. An invariant set is found and a Lyapunov function with respect to the operator is constructed in this set. Using the Lyapunov function, the global attraction of a fixed point is proved. Moreover, we give some biological interpretations of our results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-06T07:20:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "92D25"
    ],
    "keywords": [
      "evolution operator",
      "mosquito population",
      "description",
      "lyapunov function",
      "trajectories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}