{
  "id": "1508.07128",
  "version": "v1",
  "published": "2015-08-28T08:46:29.000Z",
  "updated": "2015-08-28T08:46:29.000Z",
  "title": "Existence and stability of periodic solutions of a Lotka-Volterra system",
  "authors": [
    "Nguyen Thi Hoai Linh",
    "Ta Hong Quang",
    "Ta Viet Ton"
  ],
  "journal": "Proceedings of the SICE International Symposium on Control Systems, Tokyo, March 4-7, 2015, 712-4",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we study a Lotka-Volterra model which contains two prey and one predator with the Beddington-DeAngelis functional responses. First, we establish a set of sufficient conditions for existence of positive periodic solutions. Second, we investigate global asymptotic stability of boundary periodic solutions. Finally, we present some numerical examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-28T08:46:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lotka-volterra system",
      "boundary periodic solutions",
      "global asymptotic stability",
      "beddington-deangelis functional responses",
      "positive periodic solutions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807128T"
    }
  }
}