| 基于比率的P-P时滞系统的持久性与全局吸引性(英文) |
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| 引用本文： | 陆志奇,李静.基于比率的P-P时滞系统的持久性与全局吸引性(英文)[J].河南师范大学学报(自然科学版),2004,32(3):5-9. |
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| 作者姓名： | 陆志奇 李静 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 基金项目： | SupportedbyNaturalScienceFoundationofHenanProvince(1999110 0 11) |
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| 摘 要： | 研究了一类基于比率且具有时滞的两个食饵一个捕食者的捕食 -被捕食动力学模型 .证明了该系统在适当条件下的一致持久性 .通过构造适当的Liapunov泛函和应用Barbalat引理 ,得到系统正平衡位置全局吸引的充分条件
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| 关 键 词： | 分布时滞 一致持久性 全局吸引性 Liapunov泛函 Barbalat引理 |
Persistence and Attractivity in a Ratio-dependent Predator-prey System with Distributed Time Delays |
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| LU Zhi-qi,LI Jing.Persistence and Attractivity in a Ratio-dependent Predator-prey System with Distributed Time Delays[J].Journal of Henan Normal University(Natural Science),2004,32(3):5-9. |
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| Authors: | LU Zhi-qi LI Jing |
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| Abstract: | A ratio-dependent predator-preymodel with distributed time delays is investigated. The model incorporates one predator and two preys. It is shown that the system is uniformly persistent under proper conditions. Sufficient conditions are obtained for the model to exhibit global attractivity of a positive equilibrium by means of constructing a proper Liapunov functional. |
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| Keywords: | distributed time delay uniform persistence global attractivity Liapunov functional Barbalat lemma |
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