| 一类生化反应扩散系统的模式生成 |
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| 引用本文： | 别群益,赵琼.一类生化反应扩散系统的模式生成[J].兰州理工大学学报,2009,35(2). |
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| 作者姓名： | 别群益 赵琼 |
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| 作者单位： | 1. 三峡大学,理学院,湖北,宜昌,443002
2. 湖北经济学院,信息管理学院,湖北,武汉,430205 |
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| 基金项目： | 湖北省教育厅自然科学基金 |
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| 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.
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| 关 键 词： | 生化反应扩散系统 模式生成 先验估计 存在性 |
Pattern formation of a class of biochemical reaction-diffusion system |
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| BIE Qun-yi,ZHAO Qiong.Pattern formation of a class of biochemical reaction-diffusion system[J].Journal of Lanzhou University of Technology,2009,35(2). |
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| Authors: | BIE Qun-yi ZHAO Qiong |
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| Institution: | 1.College of Science;China Three Gorges University;Yichang 443002;China;2.College of Information Management;Hubei University of Economics;Wuhan 430205;China |
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| Abstract: | 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. |
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| Keywords: | biochemical reaction-diffusion system pattern formation a priori estimates existence |
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