| 一类被开发的两种群捕食模型的定性分析 |
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| 引用本文： | 杜海卫.一类被开发的两种群捕食模型的定性分析[J].商丘师范学院学报,2006,22(2):43-45. |
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| 作者姓名： | 杜海卫 |
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| 作者单位： | 南京晓庄学院,数学系,江苏,南京,210017 |
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| 摘 要： | 用Pioncare切性曲线法及Dulac函数法讨论了一类食饵种群被开发的两种群捕食系统不存在极限环的充分条件,用Hopf分支方法及张芷芬唯一性定理证明了极限环的存在性和唯一性,并对相应的生态学意义作了说明.
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| 关 键 词： | 捕食系统 平衡点 极限环 Hopf分支 |
| 文章编号： | 1672-3600（2006）02-0043-03 |
| 收稿时间： | 2004-10-07 |
| 修稿时间： | 2004年10月7日 |
Qualitative analysis of a kind of predator-prey system exploited |
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| DU Hai-wei.Qualitative analysis of a kind of predator-prey system exploited[J].Journal of Shangqiu Teachers College,2006,22(2):43-45. |
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| Authors: | DU Hai-wei |
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| Institution: | Department of Mathematics, Nanjing Xiaozhuang College, Nanjing 210017, China |
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| Abstract: | The predatory-prey system is discussed in this paper.The nonexistence of limit cycle is exploited by Pioncare and Dulac function.The conditions of existence and uniquenese of the limit cycle around the neighborhood of the positive equilibrium exploited by Hopf burfication and Uniqueness Theorem of Zhang-zifen.The significance of the conclusions we get are interpreted at the same time. |
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| Keywords: | predator-prey system equilibrium limit cycle hopf burfication |
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