{
  "id": "2007.03270",
  "version": "v1",
  "published": "2020-07-07T08:14:01.000Z",
  "updated": "2020-07-07T08:14:01.000Z",
  "title": "Dynamical system of a mosquito population with distinct birth-death rates",
  "authors": [
    "Z. S. Boxonov",
    "U. A. Rozikov"
  ],
  "comment": "9 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study the discrete-time dynamical systems of a model of wild mosquito population with distinct birth (denoted by $\\beta$) and death (denoted by $\\mu$) rates. The case $\\mu=\\beta$ was considered in our previous work. In this paper we prove that for $\\beta<\\mu$ the mosquito population will die and for $\\beta>\\mu$ the population will survive, namely, the number of the larvaes goes to infinite and the number of adults has finite limit ${\\alpha\\over \\mu}$, where $\\alpha>0$ is the maximum emergence rete.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-07T08:14:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "92D25",
      "34C60",
      "34D20",
      "92D30",
      "92D40"
    ],
    "keywords": [
      "distinct birth-death rates",
      "maximum emergence rete",
      "wild mosquito population",
      "discrete-time dynamical systems",
      "finite limit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}