Positive asymptotically almost periodic solutions for hematopoiesis model

被引：13

作者：

Chen, Xin ^{[1
]}

Ding, Hui-Sheng ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

来源：

Advances in Difference Equations | 2016年

关键词：

asymptotically almost periodic; almost periodic; hematopoiesis; GLOBAL EXPONENTIAL STABILITY; EXISTENCE;

D O I：

10.1186/s13662-016-0799-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the fixed point theory and Lyapunov functional, we establish the existence and stability of asymptotically almost periodic solution to hematopoiesis of the form x'(t) = -a(t)x(t) + Sigma(k)(i=1) b(i)(t)/1+x(n)(t-tau(i)(t))(i) t is an element of R. Unlike many previous related results, we do not assume the condition inf(t is an element of R) a(t) > 0, which is a key assumption in their proofs.

引用

页数：13

共 15 条

[1] Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis [J].

Alzabut, J. O. ;

Nieto, J. J. ;

Stamov, G. Tr. .

BOUNDARY VALUE PROBLEMS, 2009,

[2] GLOBAL EXPONENTIAL STABILITY OF POSITIVE ALMOST PERIODIC SOLUTIONS FOR A MODEL OF HEMATOPOIESIS [J].

Chen, Zhibin .

KODAI MATHEMATICAL JOURNAL, 2014, 37 (02) :260-273

[3]

Corduneanu C., 1989, ALMOST PERIODIC FUNC

[4]

Diagana T, 2007, PSEUDO ALMOST PERIOD

[5] Existence of positive almost periodic solutions to a class of hematopoiesis model [J].

Ding, Hui-Sheng ;

Liu, Qing-Long ;

Nieto, Juan J. .

APPLIED MATHEMATICAL MODELLING, 2016, 40 (04) :3289-3297

[6] 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

[7] 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

[8] EXISTENCE RESULTS ON POSITIVE PERIODIC SOLUTIONS FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS [J].

Liu, Yuji .

GLASNIK MATEMATICKI, 2011, 46 (01) :149-165

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

MACKEY, MC ;

GLASS, L .

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

[10] Global Exponential Stability of Positive Pseudo-Almost-Periodic Solutions for a Model of Hematopoiesis [J].

Meng, Junxia .

ABSTRACT AND APPLIED ANALYSIS, 2013,

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