| 一类捕食-食饵系统的定性分析 |
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| 引用本文： | 王希超,王志武,徐胜荣.一类捕食-食饵系统的定性分析[J].生物数学学报,2009,24(2):287-292. |
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| 作者姓名： | 王希超 王志武 徐胜荣 |
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| 作者单位： | 山东农业大学,数学与信息科学系,山东,泰安,271018 |
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| 基金项目： | 山东省自然科学基金资助项目，山东农业大学科技创新基金 |
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| 摘 要： | 本文用定性分析的方法研究了一类捕食-食饵系统的全局性质，给出了该系统不存在极限环以及存在唯一稳定极限环的条件．
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| 关 键 词： | 捕食-食饵系统 极限环 全局渐近稳定 |
The Qualitative Analysis of a Predator-Prey System |
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| WANG Xi-chao,WANG Zhi-wu,XU Sheng-rong.The Qualitative Analysis of a Predator-Prey System[J].Journal of Biomathematics,2009,24(2):287-292. |
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| Authors: | WANG Xi-chao WANG Zhi-wu XU Sheng-rong |
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| Institution: | (Department of Mathematics and Information Science, Shandong Agricultural University, Taian Shandang 271018 China) |
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| Abstract: | In this paper,by using the methods of qualitative theory, the global behavior of a class of predator-prey system is studied,and some sufficient conditions for the existence-uniqueness and nonexistence of limit cycles of the system are obtained. |
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| Keywords: | Predator-prey system Limit cycle Globally asymptotically stability |
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