• Title of article

    Activator-inhibitor system with delay and pattern formation

  • Author/Authors

    Piotrowska، نويسنده , , M.J.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    9
  • From page
    123
  • To page
    131
  • Abstract
    In the present paper, a description and mathematical analysis of a simple model of nonlinear pattern formation is given. The model is based on the so-called activator-inhibitor system proposed by Thomas. We introduce time delay into the reaction term and focus on its influence on morphogenesis and pattern formation. Numerical simulations are presented and compared for both cases without and with delay.
  • Keywords
    Reaction-diffusion equation , stability , equilibrium state , Turing instability , Morphogenesis , pattern formation
  • Journal title
    Mathematical and Computer Modelling
  • Serial Year
    2005
  • Journal title
    Mathematical and Computer Modelling
  • Record number

    1593801