{
  "id": "2007.09014",
  "version": "v1",
  "published": "2020-07-17T14:10:11.000Z",
  "updated": "2020-07-17T14:10:11.000Z",
  "title": "Bifurcation analysis of a coupled system between a transport equation and an ordinary differential equation with time delay",
  "authors": [
    "Serge Nicaise",
    "Alessandro Paolucci",
    "Cristina Pignotti"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney blood flow control). Through a careful spectral analysis we characterize the region of stability, namely the set of parameters for which the system is exponentially stable. Also, we perform a bifurcation analysis and determine some properties of the stable steady state set and the limit cycle oscillation region. Some numerical examples illustrate the theoretical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-17T14:10:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ordinary differential equation",
      "bifurcation analysis",
      "time delay",
      "transport equation",
      "coupled system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}