| 具功能反应两种群捕食模型的稳定性与极限环的存在性 |
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| 引用本文： | 黄优良,张来.具功能反应两种群捕食模型的稳定性与极限环的存在性[J].韶关学院学报,2007,28(3):10-13. |
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| 作者姓名： | 黄优良 张来 |
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| 作者单位： | 1. 韶关学院,数学系,广东,韶关,512005;扬州大学,数学科学学院,江苏,扬州,225009
2. 扬州大学,数学科学学院,江苏,扬州,225009 |
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| 基金项目： | 江苏省教育厅自然科学基金;扬州大学科技创新培育基金 |
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| 摘 要： | 研究了一类具功能性反应的两种群捕食-被捕食模型，运用微分方程稳定性理论和Poincare-Bendixon环域定理，探讨了这个系统的平衡点的性态以及极限环的存在性．
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| 关 键 词： | 功能性反应 捕食-被捕食 平衡点 极限环 |
| 文章编号： | 1007-5348（2007）03-0010-04 |
| 修稿时间： | 2006-12-12 |
The global stability of the equilibrium and the existence of the limit cycle in the two species prey-predator model with functional response |
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| HUANG You-liang,ZHANG Lai.The global stability of the equilibrium and the existence of the limit cycle in the two species prey-predator model with functional response[J].Journal of Shaoguan University(Social Science Edition),2007,28(3):10-13. |
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| Authors: | HUANG You-liang ZHANG Lai |
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| Institution: | 1 .Department of Mathematics, Shaoguan University, Shaoguan 512005 Guangdong, China; 2. Mathematical Science College, Yangzhou University, Yangzhou 225009, Jiangsu, China |
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| Abstract: | The two species prey-predator model with functional response is studied in this paper. By using stability analysis methods and the Poinear6-Bendixon theory, the blobal stability of the equilibrium and the existence of the limit cycle can be achieved. |
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| Keywords: | functional response prey-predator model equilibrium limit cycle |
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