Nonlinear stability in reaction-diffusion systems via optimal Lyapunov functions |
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| Authors: | S. Lombardo M. Trovato |
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| Affiliation: | Dipartimento di Matematica e Informatica, Città Universitaria, Viale A. Doria, 6, 95125 Catania, Italy |
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| 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. |
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| Keywords: | Lyapunov function Reaction-diffusion systems Optimal stability |
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