| 一类比率依赖的捕食模型平衡解的局部分歧 |
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| 引用本文： | 查淑玲,行珊.一类比率依赖的捕食模型平衡解的局部分歧[J].渭南师范学院学报,2009,24(5):6-8. |
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| 作者姓名： | 查淑玲 行珊 |
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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： | 渭南师范学院科研计划项目 |
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| 摘 要： | 研究了一类比率依赖的捕食模型平衡解的分歧.利用特征值和分歧理论,证明了系统在半平凡解附近出现的分歧现象,得到了正解存在的充分条件.
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| 关 键 词： | 特征值 平衡解 分歧 |
Local Bifurcation in Steady-state Solutions of a Prey-predator Model |
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| ZHA Shu-ling,XING Shan.Local Bifurcation in Steady-state Solutions of a Prey-predator Model[J].Journal of Weinan Teachers College,2009,24(5):6-8. |
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| Authors: | ZHA Shu-ling XING Shan |
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| Institution: | (Department of Mathematics and Information Sciences,Weinan Teacher University,Weinan 714000,China) |
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| Abstract: | The local bifurcation of the predator-prey model with ratio-dependent functional response is studied by using theory of eigenvalue and bifurcation.The bifurcation at the semi-trivial solution is obtained and a sufficient condition for the existence of positive solutions is given. |
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| Keywords: | eigenvalue steady-state solution bifurcation |
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