| 一类具功能反应的食饵-捕食者两种群模型的定性分析 |
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| 引用本文： | 郑冬梅,鲁世平. 一类具功能反应的食饵-捕食者两种群模型的定性分析[J]. 杭州师范学院学报(自然科学版), 2009, 1(1): 36-38 |
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| 作者姓名： | 郑冬梅 鲁世平 |
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| 作者单位： | 安徽师范大学数学系,安徽,芜湖,241000 |
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| 基金项目： | 国家自然科学基金，安徽省自然科学基金 |
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| 摘 要： | 研究一类具有功能反应的食饵-捕食者系统平衡点及极限环的定性行为,得到正平衡点的稳定性,并利用Dulac函数讨论系统极限环的存在性,得到系统有无极限环的充分条件,进一步获得食饵种群密度与捕食者种群密度依赖关系.
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| 关 键 词： | 平衡点 全局稳定性 极限环 |
The Qualitative Analysis of a Class of Two Species Predator-Prey Model with Functional Response |
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| ZHENG Dong-mei,LU Shi-ping. The Qualitative Analysis of a Class of Two Species Predator-Prey Model with Functional Response[J]. Journal of Hangzhou Teachers College(Natural Science), 2009, 1(1): 36-38 |
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| Authors: | ZHENG Dong-mei LU Shi-ping |
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| Affiliation: | (Department of Mathematics, Anhui Normal University, Wuhu 241000, China) |
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| Abstract: | The paper studies qualitative behavior of positive equilibrium and limit cycle of a class of two species predatorprey model with functional response, obtains the stability of positive equilibrium, and discuses the existence of limit cycle by using Dulac function, obtains the sufficient conditions of nonexistence and existence of limit cycle, as well as the relation between predator and prey. |
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| Keywords: | equilibrium global stability limit cycle |
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