| 一类被开发的捕食系统的定性分析 |
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| 引用本文： | 樊永红,权宏顺. 一类被开发的捕食系统的定性分析[J]. 兰州大学学报(自然科学版), 2002, 38(4): 7-11 |
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| 作者姓名： | 樊永红 权宏顺 |
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| 作者单位： | 1. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070
2. 兰州大学,数学系,甘肃,兰州,730000 |
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| 摘 要： | 对一类被开发的捕食系统在较一般的情况下进行了较为详细的定性分析 ,得到了系统奇点的全局渐进稳定性、闭轨的不存在性以及极限环的存在惟一性等一系列充分条件 ,为进一步深入研究被开发的两种群生态系统的动力学行为提供了理论依据
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| 关 键 词： | 捕食系统 闭轨 极限环 全局渐进稳定性 |
| 文章编号： | 0455-2059(2002)04-0007-05 |
Qualitative analysis of a class of predator-prey system exploited |
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| FAN Yong-hong ,QUAN Hong-shun. Qualitative analysis of a class of predator-prey system exploited[J]. Journal of Lanzhou University(Natural Science), 2002, 38(4): 7-11 |
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| Authors: | FAN Yong-hong QUAN Hong-shun |
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| Affiliation: | FAN Yong-hong 1,QUAN Hong-shun 2 |
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| Abstract: | A class of prey-predator system in which the prey is exploited has bee n discussed. The behaviors of equilibria and their stability have been studied. The sufficient conditions of the non-existence of a closed orbit, the existence and uniqueness of limit cycles have been obtained. |
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| Keywords: | prey-predator system closed orbit limit cycle globally asymptotica l stability |
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