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| Schnakenberg自催化模型的非常数正解 | |
| 引用本文： | 王翠芳,于颖,白建侠.Schnakenberg自催化模型的非常数正解[J].天津师范大学学报(自然科学版),2011,31(3):29-31. |
| 作者姓名： | 王翠芳 于颖 白建侠 |
| 作者单位： | 1. 天津师范大学 津沽学院,天津,300387 2. 燕山大学 里仁学院,河北 秦皇岛,066004 3. 天津大学 仁爱学院,天津,301636 |
| 基金项目： | "十一五"国家课题资助项目 |
| 摘 要： | 讨论含有两种反应物的简单的Schnakenberg自催化模型在Neumann边界条件下的相关性质.首先应用谱理论证明了该反应扩散系统的唯一正常数解是一致渐近稳定的；其次应用极大值原理证明该模型在平衡状态下存在上下界；最后应用能量方法得到此模型在齐次Neumann边界条件下不存在非常数正解时扩散系数需满足的条件. |
| 关 键 词： | Schnakenberg自催化模型 稳定性 非常数正解 |
Non-constant positive solutions of Schnakenberg model |
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| WANG Cuifang,YU Ying,BAI Jianxia.Non-constant positive solutions of Schnakenberg model[J].Journal of Tianjin Normal University(Natural Science Edition),2011,31(3):29-31. | |
| Authors: | WANG Cuifang YU Ying BAI Jianxia |
| Institution: | WANG Cuifang1,YU Ying2,BAI Jianxia31.Jingu College,Tianjin Normal University,Tianjin 300387,China,2.Liren College,Yanshan University,Qinhuangdao 066004,Hebei Province,3.Ren'ai College,Tianjin University,Tianjin 301636 |
| Abstract: | The simple autocatalytic reaction-diffusion system known as Schnakenberg model with the homogeneous Neumann boundary condition is discussed.The uniformly asymptotic stability of the unique constant positive solution is proved by using spectral theory.Then a prior estimate(positive upper and lower bounds) of the positive steady-state is given.At last conditions of nonexistence for non-constant positive solution are given by using energy method. |
| Keywords: | Schnakenberg model stability non-constant positive solutions |
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