| 一类比率依赖捕食模型的局部分歧及稳定性 |
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| 引用本文： | 查淑玲.一类比率依赖捕食模型的局部分歧及稳定性[J].纺织高校基础科学学报,2009,22(3). |
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| 作者姓名： | 查淑玲 |
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| 作者单位： | 渭南师范学院,数学与信息科学系,陕西,渭南,714000 |
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| 基金项目： | 渭南师范学院基金资助项目 |
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| 摘 要： | 运用谱分析和分歧理论的方法,在齐次Dirichlet边界条件下,对一类比率依赖捕食模型的半平凡解的分歧及稳定性进行了研究.以增长率b为分歧参数,讨论了发自半平凡解的分歧,同时判定了分歧解的稳定性.
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| 关 键 词： | 特征值 分歧 稳定性 |
The local bifurcation solutions and the stability of the predator-prey model with ratio-dependent functional response |
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| ZHA Shu-ling.The local bifurcation solutions and the stability of the predator-prey model with ratio-dependent functional response[J].Basic Sciences Journal of Textile Universities,2009,22(3). |
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| Authors: | ZHA Shu-ling |
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| Affiliation: | ZHA Shu-ling(Department of Mathematics and Information Sciences,Weinan Teacher College,Weinan,Shaanxi 714000,China) |
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| Abstract: | The local bifurcation of semi-trivial solutions and the stability of the predator-prey model with ratio-dependent functional response are discussed by spectral analysis and methods of bifurcation theory.When the growth rates b is treated as bifurcation parameter,the bifurcation from semi-trivial solutions is considered.Moreover,the stability of the solution s is determined. |
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| Keywords: | eigenvalue bifurcation stability |
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