| 基于比率的具有反馈控制的捕食系统的持久性与全局渐近稳定性 |
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| 引用本文： | 刘智. 基于比率的具有反馈控制的捕食系统的持久性与全局渐近稳定性[J]. 生物数学学报, 2009, 0(3): 433-438 |
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| 作者姓名： | 刘智 |
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| 作者单位： | 北华大学数学学院,吉林吉林132013 |
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| 摘 要： | 研究了一类基于比率的具有反馈控制的非自治捕食模型，得到了系统一致持久和其周期系统存在唯一全局渐近稳定的周期解的充分性条件．
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| 关 键 词： | 捕食系统 持久性 周期性 全局渐近稳定性 |
Persistence and Global Stability for Ratio-Dependent Predator-Prey System with Feedback Controls |
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| LIU Zhi. Persistence and Global Stability for Ratio-Dependent Predator-Prey System with Feedback Controls[J]. Journal of Biomathematics, 2009, 0(3): 433-438 |
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| Authors: | LIU Zhi |
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| Affiliation: | LIU Zhi (College of mathematics, Beihua University, Jilin Jilin 132013 China) |
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| Abstract: | In this paper, we consider a nonautonomous ratio-dependent predator-prey model with feedback controls. It is proved that the system is uniformly persistent under appropriate conditions. Further, if the system is a periodic one, it can have a strictly positive periodic solution which is global asymptotic stable under appropriate conditions. |
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| Keywords: | Predator-prey system Persistence Periodic Solution Global asymptotic Stability |
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