Global attractivity of positive periodic solutions for a survival model of red blood cells

被引：1

作者：

Wu, Xin-min ^{[1
]}

Li, Jing-wen ^{[1
]}

机构：

[1] Shaoyang Univ, Dept Math, Shaoyang 422000, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2007年 / 23卷 / 03期

基金：

中国国家自然科学基金;

关键词：

a survival model of red blood cells; positive periodic solution; global attractirvity; positive equilibrium;

D O I：

10.1007/s10255-007-0392-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with a model for the survival of red blood cells with periodic coefficients x'(t) = -mu(t)x(t) + P(t)e(-gamma(t)x(t-tau(t))), t >= 0. (*) A new sufficient condition for global attractivity of positive periodic solutions of Eq.(*) is obtained. Our criterion improves corresponding result obtained by Li and Wang in 2005.

引用

下载

页码：523 / 528

页数：6

共 50 条

[31] Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis
Yang Xi-tao
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2010, 25 (01) : 25 - 34
[32] Global attractivity and positive almost periodic solution of a single species population model
Yang, Xitao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) : 111 - 126
[33] Existence and global attractivity of unique positive almost periodic solution for a model of hematopoiesis
YANG Xitao Department of Mathematics Hunan University of Science and Technology Hunan China
AppliedMathematics:AJournalofChineseUniversities(SeriesB), 2010, 25 (01) : 25 - 34
[34] Existence of periodic solutions, global attractivity and oscillation of impulsive delay population model
Saker, S. H.
Alzabut, J. O.
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (04) : 1029 - 1039
[35] EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS FOR CHEMOSTAT MODEL WITH DELAYED NUTRIENTS RECYCLING
Jia, Jianwen
Zhang, Honghong
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2014, 6 (02): : 275 - 286
[36] Existence and Global Attractivity of Positive Periodic Solutions for a Delayed Predator-Prey Model with Mutual Interference and Functional Response
Liu, Changdong
Zhou, Xiaoliang
FILOMAT, 2019, 33 (01) : 43 - 64
[37] Global attractivity of periodic solution in a model of hematopoiesis
Weng, PX
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (8-9) : 1019 - 1030
[38] EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTIONS FOR A PREDATOR-PREY MODEL WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE
Li, Xiaowan
Lin, Xiaojie
Liu, Jiang
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018,
[39] Existence and global attractivity of positive periodic solution for an impulsive Lasota-Wazewska model
Yan, JR
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (01) : 111 - 120
[40] Existence and global attractivity of unique positive periodic solution for a Lasota-Wazewska model
Liu, GR
Zhao, AM
Yan, JR
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (08) : 1737 - 1746

← 1 2 3 4 5 →