Existence of positive almost periodic solutions to the hematopoiesis model

被引：19

作者：

Diagana, Toka ^{[1
]}

Zhou, Hui ^{[2
]}

机构：

[1] Howard Univ, Dept Math, Washington, DC 20059 USA

[2] Hefei Normal Univ, Sch Math & Stat, Hefei 230601, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 274卷

基金：

中国国家自然科学基金;

关键词：

Hematopoiesis model; Almost periodic; Fixed-point theorem in a cone; ATTRACTIVITY; OSCILLATION;

D O I：

10.1016/j.amc.2015.10.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study and obtain the existence of a positive almost periodic solution to the nonlinear differential equation with delays that describes the so-called hematopoiesis model. The main tool utilized to establish our existence result consists of the fixed-point theorem in a cone. Two examples are given at the end of the paper to illustrate our main result. (C) 2015 Elsevier Inc. All rights reserved.

引用

收藏

页码：644 / 648

页数：5

相关论文

共 16 条

[1] Almost periodic solutions of neutral functional differential equations [J].

Abbas, S. ;

Bahuguna, D. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (11) :2593-2601

[2]

Alzabut J. O., 2009, BOUND VALUE PROBL, V1193, P429

[3] Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients [J].

Braverman, E. ;

Saker, S. H. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (10) :2955-2965

[4] Almost periodic solutions of neutral functional differential equations [J].

Chen, Xiaoxing ;

Lin, Faxing .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) :1182-1189

[5] Weighted pseudo almost periodic solutions for a class of discrete hematopoiesis model [J].

Ding, Hui-Sheng ;

N'Guerekata, Gaston M. ;

Nieto, Juan J. .

REVISTA MATEMATICA COMPLUTENSE, 2013, 26 (02) :427-443

[6] Existence of positive almost automorphic solutions to nonlinear delay integral equations [J].

Ding, Hui-Sheng ;

Xiao, Ti-Jun ;

Liang, Jin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (06) :2216-2231

[7] Global attractivity of almost-periodic solution in a model of hematopoiesis with feedback control [J].

Hong, Penghua ;

Weng, Peixuan .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) :2267-2285

[8] New results on the positive almost periodic solutions for a model of hematopoiesis [J].

Liu, Bingwen .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 17 :252-264

[9] Existence and global attractivity of unique positive periodic solution for a model of hernatopoiesis [J].

Liu, Guirong ;

Yan, Jurang ;

Zhang, Fengqin .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :157-171

[10] OSCILLATION AND CHAOS IN PHYSIOLOGICAL CONTROL-SYSTEMS [J].

MACKEY, MC ;

GLASS, L .

SCIENCE, 1977, 197 (4300) :287-288