Nonlinear stability in reaction-diffusion systems via optimal Lyapunov functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:342

Article

Lombardo, S.¹  Mulone, G.¹  Trovato, M.¹ 

[1] Citta Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

关键词: Lyapunov function;    reaction-diffusion systems;    optimal stability;   

DOI  :  10.1016/j.jmaa.2007.12.024

来源: Elsevier

【 摘 要 】

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. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free