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一类具时滞的Lotka-Volterra系统的持久性和稳定性

On the Permanence and Stability for a Class of Lotka-Volterra System with Time Delay
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摘要 By the Liapunov function and differential inequality, the author studied a class of Lotka-Volterra system with time delay. It is proved that the system can be permanent under some conditions and its any positive solution in globally asymptotically stable under the approiate conditions. By the Liapunov function and differential inequality, the author studied a class of Lotka-Volterra system with time delay. It is proved that the system can be permanent under some conditions and its any positive solution in globally asymptotically stable under the approiate conditions.
作者 苟清明
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第6期1191-1192,共2页 Journal of Sichuan University(Natural Science Edition)
关键词 时滞 LOTKA-VOLTERRA系统 持久性 稳定性 生态系统 time delay Lotca-Volterra system permanence global stability
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