{
  "id": "1911.12973",
  "version": "v1",
  "published": "2019-11-29T06:56:04.000Z",
  "updated": "2019-11-29T06:56:04.000Z",
  "title": "Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model",
  "authors": [
    "Roman Cherniha",
    "Vasyl' Davydovych"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Q-conditional (nonclassical) symmetries of the known three-component reaction-diffusion system [K. Aoki et al Theor. Pop. Biol. 50(1) (1996)] modeling interaction between farmers and hunter-gatherers are constructed for the first time. A wide variety of Q-conditional symmetries are found in an explicit form and it is shown that these symmetries are not equivalent to the Lie symmetries. Some operators of Q-conditional (nonclassical) symmetry are applied for finding exact solutions of the reaction-diffusion system in question. Properties of the exact solutions (in particular, their asymptotic behaviour) are identified and possible biological interpretation is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-29T06:56:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear three-component reaction-diffusion model",
      "exact solutions",
      "three-component reaction-diffusion system",
      "first time",
      "wide variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}