• Title of article

    The Brouwer Fixed Point Theorem applied to rumour transmission Original Research Article

  • Author/Authors

    William Basener، نويسنده , , Bernard P. Brooks، نويسنده , , David Ross، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    2
  • From page
    841
  • To page
    842
  • Abstract
    The results of the Brouwer Fixed Point Theorem are extended to continuous dynamical systems. It is shown that if there exists a compact convex positive invariant set for the dynamical system, then this convex positive invariant set contains an equilibrium point. The existence of an interior equilibrium is shown for a general model of rumour transmission.
  • Keywords
    Compact set , Dynamical system , Rumour , Equilibrium , Rumor , flow
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2006
  • Journal title
    Applied Mathematics Letters
  • Record number

    898200