| 具有收获率且功能反应为x^1/n的捕食系统的定性分析 |
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| 引用本文： | 段永红,王万雄.具有收获率且功能反应为x^1/n的捕食系统的定性分析[J].云南师范大学学报(自然科学版),2009,29(3):15-18. |
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| 作者姓名： | 段永红 王万雄 |
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| 作者单位： | 1. 兰州交通大学数理与软件工程学院,甘肃,兰州,730070
2. 兰州交通大学数理与软件工程学院,甘肃,兰州,730070;甘肃农业大学理学院数学系,甘肃,兰州,730070 |
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| 摘 要： | 文章讨论了具有收获率且功能反应为x^1/n的一类捕食系统，得到系统正平衡点存在性和稳定性的充分条件及极限环存在性和唯一性的条件。
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| 关 键 词： | 正平衡点 稳定性 极限环 Dulac函数 |
Qualitative Analysis of a Prey-predator system with Functional Response x(1)/(n) and Havesting Rate |
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| DUAN Yong-hong,WANG Wan-xiong.Qualitative Analysis of a Prey-predator system with Functional Response x(1)/(n) and Havesting Rate[J].Journal of Yunnan Normal University (Natural Sciences Edition),2009,29(3):15-18. |
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| Authors: | DUAN Yong-hong WANG Wan-xiong |
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| Institution: | DUAN Yong - hong , WANG Wan - xiong (Lanzhou Jiaotong Univerdity, School of Mathematics, Physics and Software Engineering, Gansu Agricultural University, Department of Mathematics, Lanzhou 730070, China) |
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| Abstract: | A predator-prey system with functional response x^1/n and harvesting rate is discussed in this paper. Sufficient conditions are obtained for the existence and stability of positive equilibrium of the system. The existence and uniqueness of limit cycles are proved. |
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| Keywords: | Positive equilibrium point stability limit cycle Dulac function |
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