具变时滞Lotka-Volterra系统的全局渐近稳定性

具变时滞Lotka-Volterra系统的全局渐近稳定性

盖平¹，黄庆道², 付苗苗³

1. 白城师范学院数学系，白城 137000; 2. 吉林大学数学学院应用数学系，长春 130012;3. 长春师范学院数学系，长春 130032

收稿日期:2004-01-08 修回日期:1900-01-01 出版日期:2004-07-26 发布日期:2004-07-26
通讯作者: 盖平

Global asymptotic stability of Lotka-Volterra systemwith variable time delays

GAI Ping¹, HUANG Qing-dao², FU Miao-miao³

1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, China;2. Department of Applied Mathematics, College of Mathematics, Jilin University, Changchun 130023, China;3. Department of Mathematics, Changchun Normal College, Changchun 130032, China

Received:2004-01-08 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
Contact: GAI Ping

摘要/Abstract

摘要： 利用Lyapunov函数方法研究了具变时滞Lotka-Volterra系统的渐近稳定性，得到一些新结果，推广并改进了已有的一些相关结果.

关键词: 全局渐近稳定性, Lotka-Volterra系统, 变化率

Abstract: The Lyapunov function is used to derive a set of easily verifiable sufficient conditions for the global asymptotic stability of the Lo tka-Volterra system with variable time delays. Some new results are obtained, some related known results are improved and generalized.

Key words: global asymptotic stability, Lotka-Volterra system, va riation rate

中图分类号:

O175.1

盖平，黄庆道, 付苗苗. 具变时滞Lotka-Volterra系统的全局渐近稳定性[J]. J4, 2004, 42(03): 367-370.

GAI Ping, HUANG Qing-dao, FU Miao-miao. Global asymptotic stability of Lotka-Volterra systemwith variable time delays[J]. J4, 2004, 42(03): 367-370.

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