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一种非自治捕食链系统的持久性与全局吸引性
引用本文:王守和,李常菊. 一种非自治捕食链系统的持久性与全局吸引性[J]. 三峡大学学报(自然科学版), 2009, 31(6): 100-103
作者姓名:王守和  李常菊
作者单位:1. 福州大学,数学与计算机科学学院,福州,350108
2. 武汉理工大学,理学院,武汉,430070
摘    要:研究一类具有无穷时滞和反馈控制的非自治捕食链系统.利用比较定理结合构造Lyapunov泛函的方法,得到了保证系统永久持续生存及任意正解全局吸引的充分条件.

关 键 词:无穷时滞  反馈控制  捕食链  持久性  全局吸引

Permanence and Global Attractivity of a Non-autonomous Food-chain System with Infinite Delay and Feedback Control
Wang Shouhe,Li Changju. Permanence and Global Attractivity of a Non-autonomous Food-chain System with Infinite Delay and Feedback Control[J]. Journal of China Three Gorges University(Natural Sciences), 2009, 31(6): 100-103
Authors:Wang Shouhe  Li Changju
Affiliation:Wang Shouhe Li Changju(1. College of Mathematics & Computer Science, Fuzhou Univ. , Fuzhou 350108, China; 2. College of Science, Wuhan Univ. of Technology, Wuhan 430070, China)
Abstract:A non-autonomous food-chain system with infinite delay and feedback control is studied.By applying the comparative theorem and constructing a suitable Lyapunov functional,some sufficient conditions are obtained for guaranteeing that the system is permanent and global attractivity.
Keywords:infinite delay  feedback control  food-chain  permanent  global attractivity
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