| 一类被开发的捕食-食饵系统的定性分析 |
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| 引用本文： | 韦煜明,曾琬婷,丁昌明. 一类被开发的捕食-食饵系统的定性分析[J]. 广西师范大学学报(自然科学版), 2006, 24(3): 30-33 |
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| 作者姓名： | 韦煜明 曾琬婷 丁昌明 |
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| 作者单位： | 广西师范大学,数学科学学院,广西,桂林,541004;广西师范大学,数学科学学院,广西,桂林,541004;广西师范大学,数学科学学院,广西,桂林,541004 |
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| 摘 要： | 讨论了一类食饵种群被开发的两种群捕食系统,主要讨论了系统平衡点的行为以及系统的全局稳定性。用P ioncare切性曲线法及Du lac函数法得到了闭轨不存在的充分条件。用Hop f分支理论及张芷芬唯一性定理证明了极限环的存在唯一性。
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| 关 键 词： | 捕食系统 极限环 闭轨Hopf分支 平衡点 |
| 文章编号： | 1001-6600（2006）03-0030-04 |
| 收稿时间： | 2006-01-12 |
| 修稿时间： | 2006-01-12 |
Qualitative Analysis of a Kind of Exploited Predator-Prey System |
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| WEI Yu-ming,ZENG Wan-ting,DING Chang-ming. Qualitative Analysis of a Kind of Exploited Predator-Prey System[J]. Journal of Guangxi Normal University(Natural Science Edition), 2006, 24(3): 30-33 |
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| Authors: | WEI Yu-ming ZENG Wan-ting DING Chang-ming |
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| Affiliation: | College of Mathematical Science, Guangxi Normal University, Guilin 541004, China |
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| Abstract: | A kind of predator-prey system is exploited.The paper mainly studied the behaviors of the equilibria and the stability.By constructing Dulac function and Pioncare curve,a sufficient condition of the nonexixtence of closed orbit was obtained.The existence and the uniquess of limit cycle which depend on Hopf bifurcation theory and unique theorem was proved. |
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| Keywords: | predator-prey system limit cycle closed orbit Hopf bifurcation equilibrium |
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