THE STRUCTURE OF LASALLE INVARIANT SET FOR LOTKA-VOLTERRA SYSTEMS

被引：0

作者：

LIU, L

LU, ZY

WANG, DM

机构：

[1] SICHUAN UNIV,DEPT MATH,CHENGDU 610064,PEOPLES R CHINA

[2] JOHANNES KEPLER UNIV,SUMBOL COMP RES INST,A-4040 LINZ,AUSTRIA

[3] ACAD SINICA,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY & TECHNOLOGICAL SCIENCES | 1991年 / 34卷 / 07期

关键词：

LOTKA-VOLTERRA SYSTEMS; LASALLE INVARIANT SET; WELL-ORDERING PRINCIPLE; GLOBAL STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By developing the mechanical proving method, we determine the structure of LaSalle's invariant set for 7-dimensional Lotka-Volterra food chain systems, based on Ritt-Wu's principle. We then further show that the locally asymptotical stable equilibrium point of Lotka-Volterra food chain systems for 7 dimension must be globally stable.

引用

页码：783 / 790

页数：8