| 竞争扩散系统的全局分歧的存在性 |
| |
| 引用本文： | 李大华.竞争扩散系统的全局分歧的存在性[J].华中科技大学学报(自然科学版),1993(5). |
| |
| 作者姓名： | 李大华 |
| |
| 作者单位： | 华中理工大学数学系 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 研究一类竞争扩散系统,在方程所描述的模型中,两个相互竞争的物种栖息在同一个有界区域内,相互制约的项是Holling-Tanner型的.以一个物种的出生率为分歧参数,证明了全局分歧的存在性.
|
| 关 键 词： | 竞争扩散系统 简单固有值 全局分歧 上解和下解 |
The Existence of Global Bifurcation of a Competitive Diffusion System |
| |
| Li Dahua.The Existence of Global Bifurcation of a Competitive Diffusion System[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1993(5). |
| |
| Authors: | Li Dahua |
| |
| Abstract: | In this paper a system of reaction-diffusion equations arising in ecology is investigated. The equations model a situation in which two species inhabit the same bounded region and the interaction terms are of Hollong-Tanner type. The birth-rate of one species is treated as a bifurcation parameter and by using the method of upper and lower solutions and the Rabinowitz's simple eigenvalue bifurcation theorem the existence of global bifurcation is proved. Moreover range of parameter is found for which there exist nontrivial steady-state solutions. |
| |
| Keywords: | competitive diffusion system simple eigenvalue global bifurcation upper and lower solutions |
| 本文献已被 CNKI 等数据库收录！ |
