{
  "id": "1508.07135",
  "version": "v1",
  "published": "2015-08-28T09:03:39.000Z",
  "updated": "2015-08-28T09:03:39.000Z",
  "title": "Asymptotic behaviour of solutions of a Lotka-Volterra system",
  "authors": [
    "Nguyen Thi Hoai Linh",
    "Ta Hong Quang",
    "Ta Viet Ton"
  ],
  "journal": "Proceedings of the 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, Kota Kinabalu, Malaysia, May 31-June 3, 2015, 623-626",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we study a Lotka-Volterra model of two prey species and one predator species presented in \\cite{SICE}. First, we give existence of an invariant set under a set of sufficient conditions of parameters in the model. These conditions also guarantee that the growth of all the species is permanent. Second, we present a condition under which the predator species falls into decay. Finally, by using Lyapunov functions, we prove global asymptotic stability of solutions of the model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-28T09:03:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lotka-volterra system",
      "asymptotic behaviour",
      "predator species falls",
      "global asymptotic stability",
      "lotka-volterra model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807135T"
    }
  }
}