Global asymptotic stability of [n]-species Gilpin-Ayala competition systems

Computer Engineering and Applications ›› 2016, Vol. 52 ›› Issue (11): 22-25.

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Global asymptotic stability of [n]-species Gilpin-Ayala competition systems

ZHENG Xiuliang1, LIU Jiebing2

1.College of Science, Hebei North University, Zhangjiakou, Hebei 075000, China
2.Department of Primary Education, Zhangjiakou University, Zhangjiakou, Hebei 075000, China

Online:2016-06-01 Published:2016-06-14

[n]种群Gilpin-Ayala型竞争系统的全局渐近稳定性

郑秀亮1，柳洁冰2

1.河北北方学院理学院，河北张家口 075000
2.张家口学院初等教育系，河北张家口 075000

Abstract

Abstract: In this paper, a class of nonautonomous[n]species Gilpin-Ayala competition system with continuous delays and discrete varying delays is studied, respectively, the sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using the comparison theorem and constructing a suitable Lyapunov functional, theorems are realized by giving a numerical example.

Key words: delay, Gilpin-Ayala competition system, Lyapunov function, permanence, global asymptotic stability

摘要： 研究了一类连续型时滞与离散型变时滞的非自治[n]种群Gilpin-Ayala型竞争系统，分别利用比较原理和构造Lyapunov函数得到了系统持久生存与全局渐近稳定性的充分条件，通过数值举例验证了定理的可行性。

关键词: 时滞, Gilpin-Ayala型竞争系统, Lyapunov函数, 持久生存, 全局渐近稳定性

ZHENG Xiuliang1, LIU Jiebing2. Global asymptotic stability of [n]-species Gilpin-Ayala competition systems[J]. Computer Engineering and Applications, 2016, 52(11): 22-25.

郑秀亮1，柳洁冰2. [n]种群Gilpin-Ayala型竞争系统的全局渐近稳定性[J]. 计算机工程与应用, 2016, 52(11): 22-25.

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Global asymptotic stability of [n]-species Gilpin-Ayala competition systems

[n]种群Gilpin-Ayala型竞争系统的全局渐近稳定性

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