Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system

Authors

Fengqi Yi
Junjie Wei
Junping Shi, William & MaryFollow
Junping Shi

Document Type

Article

Department/Program

Mathematics

Journal Title

Applied Mathematics Letters

Pub Date

2009

Volume

22

Issue

1

First Page

52

Abstract

The Lengyel-Epstein reaction-diffusion system of the CIMA reaction is revisited. We construct a Lyapunov function to show that the constant equilibrium solution is globally asymptotically stable when the feeding rate of iodide is small. We also show that for small spatial domains, all solutions eventually converge to a spatially homogeneous and time-periodic solution. (C) 2008 Elsevier Ltd. All rights reserved.

Recommended Citation

Yi, Fengqi; Wei, Junjie; Shi, Junping; and Shi, Junping, Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system (2009). Applied Mathematics Letters, 22(1), 52-55.
10.1016/j.aml.2008.02.003

DOI

10.1016/j.aml.2008.02.003