The persistence of a general nonautonomous single-species Kolmogorov system with delays

被引:4
作者
Yang, Xitao [1 ]
机构
[1] Hunan Univ Sci & Technol, Dept Math, Xiantan 411201, Hunan, Peoples R China
关键词
Persistence; Nonautonomous system; Delay; Kolmogorov system; OSCILLATION; STABILITY; EQUATION;
D O I
10.1016/j.na.2008.02.023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish some sufficient conditions for the persistence of system x '(t) = x(t) f(t, x(t)) without the condition that f (t, phi) is monotonously decreasing with respect to phi. This partly answers the open problems proposed by Teng. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1422 / 1429
页数:8
相关论文
共 16 条
[1]   UNIFORMLY PERSISTENT SYSTEMS [J].
BUTLER, G ;
FREEDMAN, HI ;
WALTMAN, P .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 96 (03) :425-430
[2]   PERSISTENCE IN DYNAMIC-SYSTEMS [J].
BUTLER, G ;
WALTMAN, P .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 63 (02) :255-263
[3]   Periodic solutions of a delayed periodic logistic equation [J].
Chen, YM .
APPLIED MATHEMATICS LETTERS, 2003, 16 (07) :1047-1051
[4]   PERSISTENCE IN DISCRETE SEMIDYNAMICAL SYSTEMS [J].
FREEDMAN, HI ;
SO, JWH .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1989, 20 (04) :930-938
[5]   PERSISTENCE AND GLOBAL ASYMPTOTIC STABILITY OF SINGLE SPECIES DISPERSAL MODELS WITH STAGE STRUCTURE [J].
FREEDMAN, HI ;
WU, JH .
QUARTERLY OF APPLIED MATHEMATICS, 1991, 49 (02) :351-371
[6]  
Freedman HI., 1994, J DYN DIFFER EQU, V6, P583, DOI [10.1007/BF02218848, DOI 10.1007/BF02218848]
[7]   ON THE OSCILLATION AND ASYMPTOTIC-BEHAVIOR OF N(T)=N(T)[A+BN(T-TAU)-CN2(T-TAU)] [J].
GOPALSAMY, K ;
LADAS, G .
QUARTERLY OF APPLIED MATHEMATICS, 1990, 48 (03) :433-440
[8]  
Gopalsamy K., 2013, STABILITY OSCILLATIO, V74
[9]  
Hale J.K., 1977, THEORY FUNCTIONAL DI
[10]  
HALE JK, 1989, SIAM J MATH ANAL, V20, P398