Permanence and positive periodic solution for the single-species nonautonomous delay diffusive models

被引:254
作者
Yang, X
Chen, LS
Chen, JF
机构
[1] ACAD SINICA,INST MATH,BEIJING 100080,PEOPLES R CHINA
[2] SHAANXI NORMAL UNIV,DEPT MATH,XIAN 710062,PEOPLES R CHINA
关键词
delay; diffusion; ultimately-bounded domain; permanence; periodic solution; global attractivity;
D O I
10.1016/0898-1221(96)00129-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Single-species nonautonomous delay diffusion models with nonlinear growth rates are investigated. Some sufficient conditions are determined that guarantee the permanence of the species and the existence of a positive periodic solution which is global attractively.
引用
收藏
页码:109 / 116
页数:8
相关论文
共 5 条
[1]  
BERETTA E, 1987, B MATH BIOL, V49, P431, DOI 10.1016/S0092-8240(87)80005-8
[2]   QUALITATIVE-ANALYSIS OF A NONAUTONOMOUS NONLINEAR DELAY DIFFERENTIAL-EQUATION [J].
KUANG, Y ;
ZHANG, BG ;
ZHAO, T .
TOHOKU MATHEMATICAL JOURNAL, 1991, 43 (04) :509-528
[3]  
Kuang Y., DELAY DIFFERENTIAL E
[4]   COOPERATIVE SYSTEMS-THEORY AND GLOBAL STABILITY OF DIFFUSION-MODELS [J].
TAKEUCHI, Y .
ACTA APPLICANDAE MATHEMATICAE, 1989, 14 (1-2) :49-57
[5]  
TAKEUCHI Y, 1990, MATH BIOSCIENCE, V2