| 一类具有HollingII类功能性反应的捕食系统的定性分析 |
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| 引用本文： | 黄军华,黄旭玲.一类具有HollingII类功能性反应的捕食系统的定性分析[J].广西师范学院学报(自然科学版),2007(1). |
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| 作者姓名： | 黄军华 黄旭玲 |
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| 作者单位： | 玉林师范学院数学与计算机科学系 广西玉林537000 |
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| 基金项目： | 玉林师范学院科研基金资助项目 |
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| 摘 要： | 研究具有HollingII功能性反应,捕食种群自身有干扰的捕食系统,分析了该系统正平衡点的性态,利用Dulac函数法得到了闭轨不存在的充分条件,利用Bendixson环域定理证明极限环的存在性,由张芷芬唯一性定理证明极限环的唯一性.
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| 关 键 词： | 种群 相互干扰 全局稳定性 极限环 |
A Qualitative Analysis System with the Holling II Functional Response of Predator Prey |
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| HUANG Jun-hua,HUANG Xu-ling.A Qualitative Analysis System with the Holling II Functional Response of Predator Prey[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2007(1). |
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| Authors: | HUANG Jun-hua HUANG Xu-ling |
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| Abstract: | This paper researches into the Predator prey system with Holling II functional response which has the mutual interference among predator species,the quality of critical points is analysed.By constructing Dulac function,a sufficient condition of the nonexistence of closed orbit is obtained.The existence of the limit circle is proved by Bendixson Theorem.The uniqueness of the limit circle around the neighborhood of positive equilibrium is exploited by Uniqueness Theorem of Zheng Zifen. |
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| Keywords: | species mutual interference global stability limit cycle |
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