EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS FOR CHEMOSTAT MODEL WITH DELAYED NUTRIENTS RECYCLING

被引：3

作者：

Jia, Jianwen ^{[1
]}

Zhang, Honghong ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Linfen, Peoples R China

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2014年 / 6卷 / 02期

关键词：

chemostat model; periodic oscillator; global attractivity; coincidence degree; nutrients recycling;

D O I：

10.7153/dea-06-14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a chemostat model involving distributed delays with two-microorganism and nutrients recycling is considered. Some sufficient conditions ensuring the existence and global attractivity of periodic solutions for the chemostat model are derived by employing the theory of coincidence degree and differential inequality technique.

引用

页码：275 / 286

页数：12

共 50 条

[21] EXISTENCE　AND　GLOBAL　ATTRACTIVITY　OF　PERIODIC　SOLUTION　OF　A　MODEL　IN　POPULATION　DYNAMICS
翁佩萱
梁妙莲
Acta Mathematicae Applicatae Sinica, 1996, (04) : 427 - 434
[22] Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model
Li, Wan-Tong
Fan, Yong-Hong
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 201 (01) : 55 - 68
[23] Global Existence of Periodic Solutions in a Delayed Tumor-Immune Model
Kaddar, A.
Alaoui, H. Talibi
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2010, 5 (07) : 29 - 34
[24] Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model
Kaddar, A.
Alaoui, H. Talibi
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2009, 14 (04): : 463 - 472
[25] THE GLOBAL STABILITY OF A COMPETING CHEMOSTAT MODEL WITH DELAYED NUTRIENT RECYCLING
P.Fergola
JournalofSystemsScienceandComplexity, 2005, (01) : 19 - 26
[26] THE GLOBAL STABILITY OF A COMPETING CHEMOSTAT MODEL WITH DELAYED NUTRIENT RECYCLING
P.Fergola
Journal of Systems Science & Complexity, 2005, (01) : 19 - 26
[27] Existence and global attractivity of a positive periodic solution for a generalized delayed population model with stocking and feedback control
Zhang, Zhengqiu
MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (5-6) : 749 - 760
[28] Existence and global attractivity of almost periodic solutions for neural field with time delay
Lou, Xuyang
Cui, Baotong
APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 465 - 472
[29] Existence and global attractivity of unique positive periodic solution for a model of hernatopoiesis
Liu, Guirong
Yan, Jurang
Zhang, Fengqin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 157 - 171
[30] On existence and attractivity of periodic solutions for the hematopoiesis equation
Berezansky, Leonid
Braverman, Elena
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 103 - 116

← 1 2 3 4 5 →