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| 具竞争项的反应扩散系统解的长时间性态 | |
| 引用本文： | 陈松林. 具竞争项的反应扩散系统解的长时间性态[J]. 应用数学, 2000, 13(2): 101-104 |
| 作者姓名： | 陈松林 |
| 作者单位： | 华东冶金学院数理系,安徽,马鞍山,243002 |
| 基金项目： | 安徽省教委科研项目!(No.99JL 0 16 6 )，高校中青年学科带头人培养基金资助 |
| 摘 要： | 本文研究一类具竞争项的Ｂｅｌｏｕｓｏｖ－Ｚｈａｂｏｔｉｎｓｋｉｉ型化学反应扩散系统的初边值问题，应用上、下解理论，讨论两反应物共存或最终被 耗尽的参数环境。文末应用所得结果，给出了Ｎｅｕｍａｎｎ边值问题解的共存条件。 |
| 关 键 词： | 反应扩散系统 竞争因素 长时间性态 上解 下解 |
| 修稿时间： | 1999-11-30 |
Long Time Behavior for a Reaction-diffusion System with Competition Term |
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| CHEN Song-lin. Long Time Behavior for a Reaction-diffusion System with Competition Term[J]. Mathematica Applicata, 2000, 13(2): 101-104 | |
| Authors: | CHEN Song-lin |
| Abstract: | The paper is concerned with initial-boundaryvalue problem for a reaction-diffusion system with competition term which was discoveredby Belousov and zhabotinskii. The coexistence and non-coexistence phenomina are discussedby the methods of upper and lower solutions. The analysis shows the coexistence ornon-coexistence phenomina are in closely relative to the various physical parameters ofthe system. As a consequence, Neumann problem is discussed. |
| Keywords: | Reaction diffusion system Competition factor Upper and lower solutions Long time behavior |
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