| 一类比率依赖捕食与被捕食系统的定性分析 |
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| 引用本文： | 梁志清.一类比率依赖捕食与被捕食系统的定性分析[J].广西科学院学报,2008,24(3):177-180. |
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| 作者姓名： | 梁志清 |
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| 作者单位： | 玉林师范学院数学与计算机科学系,广西玉林,537000 |
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| 摘 要： | 研究一类比率依赖的捕食与被捕食系统.首先给出系统的有界性及持久性;其次给出边界平衡点及正平衡点的全局渐近稳定性;最后证明当正平衡点为不稳定的焦(结)点时,系统存在唯一极限环.
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| 关 键 词： | 比率依赖 全局渐近稳定 极限环 |
| 收稿时间： | 2007/10/29 0:00:00 |
| 修稿时间： | 2008/5/4 0:00:00 |
Qualitative Analysis of a Ratio-Dependent Predator-Prey System |
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| LIANG Zhi-qing.Qualitative Analysis of a Ratio-Dependent Predator-Prey System[J].Journal of Guangxi Academy of Sciences,2008,24(3):177-180. |
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| Authors: | LIANG Zhi-qing |
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| Institution: | LIANG Zhi-qing(Department of Mathematics , Computer Science,Yulin Normal University,Yulin,Guangxi,537000,China) |
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| Abstract: | In this paper,a ratio-dependent predatorprey systems was studied.First,results on the boundedness of solutions,the permanence of the system,are presented.Second,the sufficient conditions for both global stabilities of positive equilibrium and boundary equilibrium are established.Finally,it is proved that when the positive equilibrium becomes unstable,system has a unique limit cycle. |
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| Keywords: | ratio-dependent global asymptotic stability limit cycles |
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