Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

张丽娜;吴建华;

ZHANG Lina, WU Jianhua

College of Mathematics and Information Science Shaanxi Normal University,College of Mathematics and Information Science,Shaanxi Normal University,,Xi'an,Shaanxi,710062,P.R.China,Xi'an,Shaanxi,710062,P.R.China

(College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi, 710062, P. R. China

摘要One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the living world. In his seminal paper "The Chemical Basis of Morphogenesis", Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates(1990) on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing's prediction. Lengyel