The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive

被引:70
作者
Jin, Z
Zhien, M
Maoan, H
机构
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
[2] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Shaanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2004.01.007
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the existence of positive periodic solutions of periodic n-species Lotka-Volterra competition systems with impulses. By using the method coincidence degree theorem, a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solutions. Some known results are improved and generalized. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:181 / 188
页数:8
相关论文
共 20 条
[2]   AN APPLICATION OF TOPOLOGICAL-DEGREE TO THE PERIODIC COMPETING SPECIES PROBLEM [J].
ALVAREZ, C ;
LAZER, AC .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1986, 28 :202-219
[3]  
Bainov D, 1993, IMPULSIVE DIFFERENTI
[4]  
Bainov D D, 1995, Impulsive differential equations: asymptotic properties of the solutions, V28
[5]   Permanence of population growth models with impulsive effects [J].
Ballinger, G ;
Liu, X .
MATHEMATICAL AND COMPUTER MODELLING, 1997, 26 (12) :59-72
[6]   Coexistence states for periodic competitive Kolmogorov systems [J].
Battauz, A ;
Zanolin, F .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 219 (02) :179-199
[7]   Existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems with several deviating arguments [J].
Fan, M ;
Wang, K ;
Jian, DQ .
MATHEMATICAL BIOSCIENCES, 1999, 160 (01) :47-61
[8]  
Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537
[9]   EXCHANGE OF EQUILIBRIA IN 2 SPECIES LOTKA-VOLTERRA COMPETITION MODELS [J].
GOPALSAMY, K .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1982, 24 (OCT) :160-170
[10]  
Gopalsamy K., 1992, MATH ITS APPL, V74