| 一类基于比率依赖的Leslie系统的定性分析 |
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| 引用本文： | 梁志清. 一类基于比率依赖的Leslie系统的定性分析[J]. 玉林师范学院学报, 2006, 27(5): 5-7 |
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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： | 研究一类基于比率依赖的Leslie食饵-捕食者模型.利用微分方程定性理论,得到了该系统正平衡点全局渐近稳定的充分条件及系统极限环存在的充分条件.
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| 关 键 词： | 正平衡点 全局渐进稳定 Leslie系统 极限环 |
| 文章编号： | 1004-4671(2006)05-0005-03 |
| 收稿时间： | 2006-07-03 |
| 修稿时间： | 2006-07-03 |
Qualitative Analysis for a Class of Leslie Systems with Ratio-dependent |
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| LIANG Zhi-qing. Qualitative Analysis for a Class of Leslie Systems with Ratio-dependent[J]. Journal of Yulin Teachers College, 2006, 27(5): 5-7 |
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| Authors: | LIANG Zhi-qing |
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| Affiliation: | 1.Associate professor, Department of Mathematics and Computer Science, Yulin Normal College, Yulin, Guangxi 537000 |
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| Abstract: | A Leslie predator-prey system with ratio-dependent is studied. By using stability theory of differential equation, we obtain the sufficient conditions for the global asymptotic stability of the positive equilibrium. we also establish the sufficient conditions for existence of limit cycle. |
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| Keywords: | positive equilibrium global asymptotic stability Leslie system limit cycle |
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