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

[1] Global Attractivity of Positive Periodic Solutions for a Survival Model of Red Blood Cells
Xin-min Wu~1
Acta Mathematicae Applicatae Sinica, 2007, (03) : 523 - 528
[2] Global Attractivity of Positive Periodic Solutions for a Survival Model of Red Blood Cells
Xin-min Wu
Jing-wen Li
Acta Mathematicae Applicatae Sinica, English Series, 2007, 23 : 523 - 528
[3] Existence and global attractivity of positive periodic solutions of a survival model of red blood cells
Li, JW
Wang, ZC
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (1-2) : 41 - 47
[4] Oscillation and global attractivity of a periodic survival red blood cells model
Saker, SH
Agarwal, S
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (3-4): : 429 - 440
[5] EXISTENCE AND GLOBAL ATTRACTIVITY POSITIVE PERIODIC SOLUTIONS FOR A DISCRETE MODEL
Zhou, Zheng
Zhang, Zhengqiu
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[6] Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics
Li, WT
Huo, HF
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 174 (02) : 227 - 238
[7] GLOBAL ATTRACTIVITY OF THE MODEL FOR THE SURVIVAL OF RED BLOOD CEELS WITH SEVERAL DELAYS
许望文
李经文
Annals of Applied Mathematics, 1998, (02) : 259 - 265
[8] Global attractivity of positive periodic solutions for an impulsive delay periodic "food limited" population model
Song, Jian
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2006, 2006
[9] Global attractivity of positive periodic solutions for nonlinear impulsive systems
Liu, Xianning
Chen, Lansun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (10) : 1843 - 1857
[10] A NOTE ON GLOBAL ATTRACTIVITY OF THE MODEL FOR THE SURVIVAL OF THE RED BLOOD CEELS WITH SEVERAL DELAYS
刘玉记
谈秀山
Annals of Applied Mathematics, 2001, (03) : 224 - 231

← 1 2 3 4 5 →