| Stability of the Bifurcation Solutions for a Predator－Prey, Model |
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| 引用本文： | 孟义杰,王一夫. Stability of the Bifurcation Solutions for a Predator－Prey, Model[J]. 北京理工大学学报(英文版), 2003, 12(2): 208-211 |
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| 作者姓名： | 孟义杰 王一夫 |
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| 作者单位： | [1]DepartmentofMathematics,XiangfanUniversity,Xiangfan,Hubei441053,China [2]DepartmentofMathematics,SchoolofScience,BeijingInstituteofTechnology,Beijing100081,China |
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| 基金项目： | SponsoredbytheNationalNaturalScientificFoundation(19971004) |
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| 摘 要： | The bifurcation solution of the nonnegative steady-state of a reaction-diffusion system was investigated.The combination of the sturm-type eigenvalue and the theorem of bifurcation was used to study the local coexis-tence solutions, and obtain the stability of bifurcation solutions. The system model describes predator-prey inter-action in an unstirred chemostat.
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| 关 键 词： | 反应－扩散系统 局部分歧 最大化原理 稳定性 捕食者－食饵模型 分歧解 |
Stability of the Bifurcation Solutions for a Predator-Prey Model |
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| MENG Yi jie and WANG Yi fu. Stability of the Bifurcation Solutions for a Predator-Prey Model[J]. Journal of Beijing Institute of Technology, 2003, 12(2): 208-211 |
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| Authors: | MENG Yi jie and WANG Yi fu |
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| Affiliation: | Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China; Department of Mathematics, Xiangfan University, Xiangfan, Hubei441053, China;Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | The bifurcation solution of the nonnegative steady state of a reaction diffusion system was investigated. The combination of the sturm type eigenvalue and the theorem of bifurcation was used to study the local coexistence solutions, and obtain the stability of bifurcation solutions. The system model describes predator prey interaction in an unstirred chemostat. |
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