Applied Mathematics Letters
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.
Yi, F., Wei, J., & Shi, J. (2009). Global asymptotical behavior of the Lengyel–Epstein reaction–diffusion system. Applied Mathematics Letters, 22(1), 52-55.