GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTION IN N-SPECIES COMPETITION SYSTEM WITH TIME DELAYS

GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTION IN N -SPECIES COMPETITION SYSTEM WITH TIME DELAYS *

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摘要 This paper devotes to study the N species competition system with time delays in a periodic environment. some verifiable sufficient conditions which are easy to be verified for dissipation, the existence of periodic solution and global asymptotic stability of periodic solution are obtained. This paper devotes to study the N species competition system with time delays in a periodic environment. some verifiable sufficient conditions which are easy to be verified for dissipation, the existence of periodic solution and global asymptotic stability of periodic solution are obtained.

作者阳平华徐瑞封汉颍

机构地区石家庄军械工程学院

出处《Annals of Differential Equations》 1998年第2期277-285,共9页 微分方程年刊（英文版）

关键词 Uniform persistence competition system Lyapunov function global asymtotic stability Uniform persistence, competition system, Lyapunov function,global asymtotic stability

分类号 O175.21 [理学—基础数学]

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1HOU Juan,TENG Zhi-dong,GAO Shu-jing.Partial extinction, permanence and global attractivity innonautonomous n-species Lotka-Volterra competitivesystems with impulses[J].Applied Mathematics(A Journal of Chinese Universities),2011,26(2):161-176.
2冯贝叶.THE HETEROCLINIC CYCLE IN THEMODEL OF COMPETITION BETWEENn SPECIES AND ITS STABILITY[J].Acta Mathematicae Applicatae Sinica,1998,14(4):404-413. 被引量：2
3杨翠红,梁肇军.THE EXISTENCE AND STABILITY OF THE HETEROCLINIC CYCLE IN A KIND OF BIOLOGICAL SYSTEM[J].Annals of Differential Equations,2002,18(2):173-182.
4CUI Jing’an(Department of Mathematics, Xinjing University, Urumqi 830046, China).GLOBAL ASYMPTOTIC STABILITY IN N-SPECIES COOPERATIVE SYSTEM WITH TIME DELAYS[J].Systems Science and Mathematical Sciences,1994,7(1):45-48. 被引量：5
5MengFAN,KeWANG,PatriciaJ.Y.WONG,RaviP.AGARWAL.Periodicity and Stability in Periodic n-Species Lotka-Volterra Competition System with Feedback Controls and Deviating Arguments[J].Acta Mathematica Sinica,English Series,2003,19(4):801-822. 被引量：17
6徐瑞,陈兰荪,M.A.J.Chaplain.GLOBAL ASYMPTOTIC STABILITY IN N-SPECIES NONAUTONOMOUS LOTKA-VOLTERRACOMPETITIVE SYSTEMS WITH DELAYS[J].Acta Mathematica Scientia,2003,23(2):208-218. 被引量：12
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8Yi-Jin Zhang,Chang-You Wang.Stability analysis of n-species Lotka-Volterra almost periodic competition models with grazing rates and diffusions[J].International Journal of Biomathematics,2014,7(2):1-11.
9KE Jian-Hong LIN Zhen-Quan.Breakdown of Scaling in Aggregation-Fragmentation- Annihilation Process of n-Species Systems[J].Communications in Theoretical Physics,2002(8):235-242. 被引量：1
10MENG Xinzhu (Department of Applied Mathematics, University of Technology, Dalian 116024,Department of Basic Courses, Shandong University of Science and Technology, Qingdao 266510, China..ALMOST PERIODIC SOLUTION FOR A CLASS OF LOTKA-VOLTERRA TYPE N-SPECIES ECOLOGICAL SYSTEMS WITH TIME DELAY[J].Journal of Systems Science & Complexity,2005,18(4):488-497.

Annals of Differential Equations

1998年第2期

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GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTION IN N-SPECIES COMPETITION SYSTEM WITH TIME DELAYS

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