| 一类具有非单调增长率和功能反应的捕食者-食饵系统的定性分析 |
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| 引用本文： | 陈晓鹰.一类具有非单调增长率和功能反应的捕食者-食饵系统的定性分析[J].生物数学学报,2005,20(1):122-127. |
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| 作者姓名： | 陈晓鹰 |
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| 作者单位： | 福建工程学院,基础学科教研部,福建,福州,350000 |
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| 摘 要： | 考虑一类食饵密度具有非单调增长率，捕食者具有功能性反应的捕食者一食饵系统。得到系统在第一象限内正平衡点的区域稳定的条件和极限环存在唯一的条件，完整地讨论了系统(1)的拓扑结构。
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| 关 键 词： | 非单调增长率 功能性反应 平衡点 极限环 拓扑结构 |
| 文章编号： | 1001-9626(2005)01-0122-06 |
| 修稿时间： | 2003年4月5日 |
Qualitative Analysis of a Kind of Predator-Prey System With Non-monotony Increase Rate and Functional Response |
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| CHEN Xiao-Ying.Qualitative Analysis of a Kind of Predator-Prey System With Non-monotony Increase Rate and Functional Response[J].Journal of Biomathematics,2005,20(1):122-127. |
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| Authors: | CHEN Xiao-Ying |
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| Abstract: | Considering a kind of predator-prey system which the prey have non-monotony increase rate and the predator have a functional response, we get the conditions under which the positive equilibrium point of the system is areal stable in the first quadrant or there is one and only one limit cycle of the system in the same quadrant, in the same time, the topology structure of the system have been discussed perfectly. |
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| Keywords: | Non-monotony Increase Rate Functional Response Equilibrium Point Limit Cycle Topology structure |
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