{
  "id": "1911.09175",
  "version": "v1",
  "published": "2019-11-20T21:10:53.000Z",
  "updated": "2019-11-20T21:10:53.000Z",
  "title": "Mutating Epidemic Processes Over Time-Varying Networks in Discrete-Time",
  "authors": [
    "Sebin Gracy",
    "Philip. E. Pare",
    "Henrik Sandberg",
    "Karl Henrik Johansson"
  ],
  "categories": [
    "eess.SY",
    "cs.SY"
  ],
  "abstract": "This paper studies epidemic processes over discrete-time periodic time-varying networks. Our objective is to find necessary and sufficient conditions for asymptotic convergence to the disease-free equilibrium (DFE). We provide, in terms of the joint spectral radius of a set of matrices, a sufficient condition for global asymptotic stability (GAS) of the DFE. Subsequently, we provide, in terms of the spectral radius of the product of matrices over an interval of size $p$, a necessary and sufficient condition for GAS of the DFE.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-20T21:10:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mutating epidemic processes",
      "sufficient condition",
      "paper studies epidemic processes",
      "global asymptotic stability",
      "discrete-time periodic time-varying networks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}