| 一类竞争扩散系统的二重固有值分岐 |
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| 引用本文： | 李大华.一类竞争扩散系统的二重固有值分岐[J].数学研究及应用,1993,13(3):319-325. |
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| 作者姓名： | 李大华 |
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| 作者单位： | 华中理工大学数学系 |
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| 基金项目： | Project supported by National Natural Science Foundation of China |
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| 摘 要： | 本文讨论一类反应扩散方程组,它刻画了栖息在同一有界区域内的两个种群的群体密度的变化状况.我们以种群的出生率α和b作分歧参数,讨论了在二重固有值处的分歧并得到了存在性及稳定性的结果.
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| 关 键 词： | 竞争扩散系统 种群 分岐 群体密度 |
| 收稿时间： | 1991/9/23 0:00:00 |
The Bifurcation from a Double Eigenvalue in a Competitive Diffusion System |
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| Li Dahua.The Bifurcation from a Double Eigenvalue in a Competitive Diffusion System[J].Journal of Mathematical Research with Applications,1993,13(3):319-325. |
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| Authors: | Li Dahua |
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| Institution: | Dept. of Math.; Huazhong University of Science and Technology |
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| Abstract: | A system of reaction-diffusion equations is investigated. The equations model a situation in which two competing species inhabit the same bounded region and describe the evalution of population densities of the two species. The birth rates of the two species are treated as bifurcation parameters and the existence, uniqueness and stability of the bifurcation solutions from a double eigenvalue are obtained. |
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