Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model  

作　　者：张丽娜 吴建华 CUI Shangbin 

机构地区：[1]College of Mathematics and Information Science, Shaanxi Normal University, Xi＇an, Shaanxi, 710062, P. R. China [2]不详

出　　处：《数学进展》2008年第1期115-117,共3页Advances in Mathematics（China）

基　　金：This work was supported by NSFC(No.10571115).

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.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 and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows

关 键 词：反应扩散方程 生物学 定理 定量分析 Lengyel-Epstein模型 

分 类 号：Q-03[生物学] Q-332