• Title of article

    Nonlinear stability in reaction–diffusion systems via optimal Lyapunov functions

  • Author/Authors

    S. Lombardo and G. Mulone، نويسنده , , G. Mulone ?، نويسنده , , M. Trovato، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2008
  • Pages
    16
  • From page
    461
  • To page
    476
  • Abstract
    We define optimal Lyapunov functions to study nonlinear stability of constant solutions to reaction–diffusion systems. A computable and finite radius of attraction for the initial data is obtained. Applications are given to the well-known Brusselator model and a three-species model for the spatial spread of rabies among foxes. © 2007 Elsevier Inc. All rights reserved
  • Keywords
    Reaction–diffusion systems , Optimal stability , lyapunov function
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2008
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    937005