PERIODIC SOLUTIONS OF "PREDATOR-PREY" SYSTEMS WITH CONTINUOUS DELAY AND PERIODIC COEFFICIENTS

被引：0

作者：

Borzdyko, V. I. ^{[1
]}

机构：

[1] Acad Sci Tajikistan, Inst Math, Dushanbe, Tajikistan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2010年 / 62卷 / 01期

关键词：

Periodic Solution; Vector Function; Prey Model; Positive Periodic Solution; Continuous Positive Function;

D O I：

10.1007/s11253-010-0330-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of positive omega-periodic solutions for some "predator-prey" systems with continuous delay of the argument for the case where the parameters of these systems are specified by omega-periodic continuous positive functions.

引用

页码：15 / 30

页数：16

共 50 条

[1] Periodic solutions of “predator–prey” systems with continuous delay and periodic coefficients
V. I. Borzdyko
[J]. Ukrainian Mathematical Journal, 2010, 62 : 15 - 30
[2] Periodic solutions of a periodic delay predator-prey system
Li, YK
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (05) : 1331 - 1335
[3] PERIODIC-SOLUTIONS OF A PREDATOR-PREY SYSTEM WITH PERIODIC COEFFICIENTS
BUTLER, GJ
FREEDMAN, HI
[J]. MATHEMATICAL BIOSCIENCES, 1981, 55 (1-2) : 27 - 38
[4] Positive periodic solutions of predator-prey systems with infinite delay
Ke W.
Meng F.
[J]. Chinese Annals of Mathematics, 2000, 21 (1) : 43 - 54
[5] Positive periodic solutions of predator-prey systems with infinite delay
Wang, K
Fan, M
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2000, 21 (01): : 43 - 54
[6] Periodic solutions for generalized predator-prey systems with time delay and diffusion
Li, BW
[J]. ACTA MATHEMATICA SCIENTIA, 2004, 24 (01) : 151 - 160
[7] PERIODIC SOLUTIONS FOR GENERALIZED PREDATOR-PREY SYSTEMS WITH TIME DELAY AND DIFFUSION
李必文
[J]. Acta Mathematica Scientia, 2004, (01) : 151 - 160
[8] Periodic Solutions of Periodic Delay Predator-Prey System with Nonmonotonic Functional Response
宋永利
韩茂安
[J]. Journal of Shanghai Jiaotong University(Science), 2003, (01) : 107 - 110
[9] Direction and stability of bifurcating periodic solutions in predator-prey systems with discrete delay
Huang, QC
Wei, JJ
Wu, JH
Zou, XF
[J]. DIFFERENTIAL EQUATIONS AND CONTROL THEORY, 1996, 176 : 107 - 119
[10] NON-CONSTANT PERIODIC-SOLUTIONS IN PREDATOR-PREY SYSTEMS WITH CONTINUOUS TIME-DELAY
DAI, LS
[J]. MATHEMATICAL BIOSCIENCES, 1981, 53 (1-2) : 149 - 157

← 1 2 3 4 5 →