Pseudo almost periodic solutions for a model of hematopoiesis with an oscillating circulation loss rate

被引：9

作者：

Jiang, Ani ^{[1
]}

机构：

[1] Hunan Univ Arts Sci, Coll Math Computat Sci, Changde 415000, Hunan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 12期

关键词：

positive pseudo almost periodic solution; global exponential stability; model of hematopoiesis; oscillating circulation loss rate; delay; GLOBAL ATTRACTIVITY; POPULATION-MODEL; EXISTENCE; DELAYS;

D O I：

10.1002/mma.3764

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a model of hematopoiesis with an oscillating circulation loss rate is investigated. By applying the exponential dichotomy theory, contraction mapping fixed-point theorem, and differential inequality techniques, a set of sufficient conditions are obtained for the existence and exponential stability of positive pseudo almost periodic solutions of the model. Some numerical simulations are carried out to support the theoretical findings. Our results improve and generalize those of the previous studies. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：3215 / 3225

页数：11

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