摘要
考虑一类具扩散的生化反应系统的平衡态问题,获得该模型正平衡态解的一些结果.给出正解的先验估计,用能量方法得到其非常数正解的不存在性,用拓扑度理论得出其非常数正解(即模式)的存在性结论.
The steady-state problem of a class of diffusive biochemical reaction system was taken into consideration and some results of positive steady-state solutions of this problem were obtained. Firstly, a priori estimates was given for the positive solutions and then the non-existence of non-constant positive solutions was obtained by using the energy method, and further the existence of non-constant positive solutions (namely, patterns) was obtained by using the topological degree theory.
出处
《兰州理工大学学报》
CAS
北大核心
2009年第2期162-165,共4页
Journal of Lanzhou University of Technology
基金
湖北省教育厅自然科学基金(Q200713001)
关键词
生化反应扩散系统
模式生成
先验估计
存在性
biochemical reaction-diffusion system
pattern formation
a priori estimates
existence