| 具非线性饱和功能反应的捕食者-食饵系统的定性分析 |
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| 引用本文： | 王政. 具非线性饱和功能反应的捕食者-食饵系统的定性分析[J]. 生物数学学报, 2007, 22(2): 215-218 |
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| 作者姓名： | 王政 |
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| 作者单位： | 山东理工大学数学与信息科学学院,山东,淄博,255049 |
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| 基金项目： | 山东理工大学校科研和教改项目 |
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| 摘 要： | 研究了一类具有非线性饱和功能反应的捕食者—食饵系统的定性行为.结果表明:当正平衡点稳定时,系统为全局渐近稳定的;当正平衡点不稳定时,系统存在唯一稳定的极限环.
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| 关 键 词： | 捕食-食饵系统 功能反应 极限环 |
| 文章编号： | 1001-9626（2007）02-0215-04 |
| 收稿时间： | 2005-08-31 |
| 修稿时间： | 2005-08-31 |
Qualitative Analysis for Predator-Prey System with Nonlinear Saturated Functional Response |
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| WANG Zheng. Qualitative Analysis for Predator-Prey System with Nonlinear Saturated Functional Response[J]. Journal of Biomathematics, 2007, 22(2): 215-218 |
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| Authors: | WANG Zheng |
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| Affiliation: | School of Mathematics and Information Science, Shandong University of Technology, Zibo Shandong 255049 China |
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| Abstract: | Qualitative behavior for predator-prey systems with nonlinear saturated func- tional response was studied.It was obtained that the system is globally asymptotically stable if positive equilibrium point is stable and has a unique stable limit cycle if positive equilibrium point is unstable. |
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| Keywords: | Predator-prey system Functional response Limit cycle |
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