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.
Nonlinear stability in reaction-diffusion systems via optimal Lyapunov functions
LOMBARDO, SEBASTIANO;MULONE, Giuseppe;TROVATO, Massimo
2008-01-01
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.File in questo prodotto:
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