| 引用本文： |
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黄军华,郑镇汉.一类被开发的食饵-捕食者两种群模型的定性分析[J].广西科学院学报,2007,23(3):135-137. [点击复制]
- HUANG Jun-hua,ZHENG Zhen-han.Qualitative Analysis of a Class of Developed Two-specie Predator-prey Models[J].Journal of Guangxi Academy of Sciences,2007,23(3):135-137. [点击复制]
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| 摘要: |
| 讨论被开发的食饵-捕食者两种群系统模型:dx/dt=x(r1-ax-by/(1+ωx))+G,dy/dt=y(-r2+kbx/(1+ωx))的平衡点性态和全局稳定性,用Bendixson环域定理证明极限环的存在性,用张芷芬唯一性定理证明极限环的唯一性。 |
| 关键词: 平衡点 全局稳定性 极限环 |
| DOI： |
| 投稿时间：2007-04-13修订日期：2007-06-08 |
| 基金项目: |
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| Qualitative Analysis of a Class of Developed Two-specie Predator-prey Models |
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HUANG Jun-hua1, ZHENG Zhen-han2
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| (1.Department of Mathematics and Computer Science, Yulin Teachers College, Yulin, Guangxi, 537000, China;2.Department of Basic Courses, Guangzhou Maritime College, Guangzhou Guangdong, 510725, China) |
| Abstract: |
| In this article,a discussion is taken up on quality of the equilibrium and the global stability of the developed two-specie predator-prey system:dx/dt=x(r1-ax-by/(1+ωx))+G,dy/dt=y(-r2+kbx/(1+ωx)).Further more,the existence and the uniqueness of the limit cycle in this system are proved respectively by applying Bendixson Theoroem and Zheng Zifen's Uniqueness Theoroem. |
| Key words: equilibrium global stability limit cycle |
