| Turchin-Batzli捕食者-食饵系统的定性分析 |
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| 引用本文： | 姜玉秋. Turchin-Batzli捕食者-食饵系统的定性分析[J]. 东北师大学报(自然科学版), 2006, 38(4): 17-21 |
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| 作者姓名： | 姜玉秋 |
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| 作者单位： | 吉林师范大学数学学院,吉林,四平,136000 |
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| 基金项目： | 国家重点基础研究发展计划项目(2003CD314702-02) |
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| 摘 要： | 在考虑了食物利用率影响捕食者生存领地大小的情况下,对Turchin-Batzli捕食者-食饵系统所建立的模型,进行了较为全面的动力学行为的分析,用Dulac判据法证明了此系统在一定条件下不存在极限环,并通过对平衡点的分析证明了此系统在平衡状态时的稳定性.
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| 关 键 词： | 捕食者-食饵系统 功能性反应 极限环 平衡点 Dulac函数 |
| 文章编号： | 1000-1832（2006）04-0017-05 |
| 收稿时间： | 2006-09-01 |
| 修稿时间： | 2006-09-01 |
Qualitative analysis to turchin-batzli predator-prey model of system |
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| JIANG Yu-qiu. Qualitative analysis to turchin-batzli predator-prey model of system[J]. Journal of Northeast Normal University (Natural Science Edition), 2006, 38(4): 17-21 |
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| Authors: | JIANG Yu-qiu |
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| Affiliation: | College of Mathematics,Jilin Normal University, Silting 136000, China |
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| Abstract: | This paper completes the investigation of the Turchin-Batzli model of predator-prey system.Considering the size of territories affected by food availability.Under the condition of all kinds of parameters,the dynamics of this systems is analysed.This system doesn't exist limit-cycles under the certain condition by using Dulac function.Stability is established of the system possesses a positive globally stable equilibrium and a larger food availability. |
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| Keywords: | predator-prey system functional response limit-cycles equilibrium Dulac function |
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