Stable periodic solution of a discrete periodic Lotka-Volterra competition system

被引：76

作者：

Chen, YM ^{[1
]}

Zhou, Z

机构：

[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

[2] Hunan Univ, Dept Math Appl, Changsha 410082, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 277卷 / 01期

关键词：

Lotka-Volterra competition system; persistence; periodic solution; global stability;

D O I：

10.1016/S0022-247X(02)00611-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses a discrete Lotka-Volterra competition system. We first obtain the persistence of the system. Assuming that the coefficients in the system are periodic, we obtain the existence of a periodic solution. Moreover, under some additional conditions, this periodic solution is globally stable. Our results not only reduce to those for the scalar equation when there is no coupling but also improve and complement some in the literature. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：358 / 366

页数：9

共 50 条

[1] Stable periodic solution of a discrete periodic Lotka-Volterra competition system with a feedback control
Chen, Xiaoxing
Chen Fengde
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) : 1446 - 1454
[2] Almost periodic solutions of a discrete Lotka-Volterra competition system with delays
Li, Zhong
Chen, Fengde
He, Mengxin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2344 - 2355
[3] Permanence and existence of periodic solution of a discrete periodic Lotka-Volterra competition system with feedback control and time delays
Li, Wenbin
Du, Zengji
Xu, Dongcheng
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2015, 20 (02): : 190 - 209
[4] Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay
Tang, Xianhua
Cao, Daomin
Zou, Xingfu
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 228 (02) : 580 - 610
[5] Periodic solutions for delay Lotka-Volterra competition systems
Li, YK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (01) : 230 - 244
[6] Periodic solutions of competition Lotka-Volterra dynamic system on time scales
Zhang, Liang
Li, Hong-Xu
Zhang, Xiao-Bing
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (07) : 1204 - 1211
[7] Time Periodic Traveling Curved Fronts in the Periodic Lotka-Volterra Competition-Diffusion System
Bao, Xiong-Xiong
Li, Wan-Tong
Wang, Zhi-Cheng
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2017, 29 (03) : 981 - 1016
[8] PERMANENCE AND PERIODIC SOLUTION OF NONAUTONOMOUS DELAY LOTKA-VOLTERRA DIFFUSION SYSTEM
XIAO Yanni(Institute of Mathematics
Systems Science and Mathematical Sciences, 1999, (04) : 344 - 349
[9] Propagation phenomena for a bistable Lotka-Volterra competition system with advection in a periodic habitat
Du, Li-Jun
Li, Wan-Tong
Wu, Shi-Liang
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 71 (01):
[10] Time periodic traveling fronts of pyramidal shapes for periodic Lotka-Volterra competition-diffusion system
Bao, Xiongxiong
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 35 : 292 - 311

← 1 2 3 4 5 →