一类具振动循环损失率的造血模型的伪概周期解

数学物理学报 ›› 2016, Vol. 36 ›› Issue (1): 80-89.

一类具振动循环损失率的造血模型的伪概周期解

姜阿尼

湖南文理学院数学与计算科学学院湖南常德 415000

收稿日期:2015-08-11 修回日期:2015-12-18 出版日期:2016-02-25 发布日期:2016-02-25
作者简介:姜阿尼,jiangani@aliyun.com
基金资助:
湖南文理学院重点建设学科(应用数学)资助

Pseudo Almost Periodic Solutions for a Model of Hematopoiesis with an Oscillating Circulation Loss Rate

Jiang Ani

College of Mathematics and Computational Science, Hunan University of Arts and Science, Hunan Changde 415000

Received:2015-08-11 Revised:2015-12-18 Online:2016-02-25 Published:2016-02-25
Supported by:
Supported by the Construction Program of the Key Disipline in Hunan University of Arts and Science-Applied Mathematics

摘要/Abstract

摘要：

该文研究了一类具振动循环损失率的造血模型,运用指数二分法理论、压缩映射不动点定理和微分不等式技巧,获得了该模型正伪概周期解存在性和指数稳定性的充分条件,并用数值模拟验证了所得的理论结果.结论改进和推广了已有文献的相应结果.

关键词: 正伪概周期解, 全局指数稳定, 造血模型, 震动循环损失率

Abstract:

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.

Key words: Positive pseudo almost periodic solution, Global exponential stability, Model of hematopoiesis, Oscillating circulation loss rate

中图分类号:

O175.12

姜阿尼. 一类具振动循环损失率的造血模型的伪概周期解[J]. 数学物理学报, 2016, 36(1): 80-89.

Jiang Ani. Pseudo Almost Periodic Solutions for a Model of Hematopoiesis with an Oscillating Circulation Loss Rate[J]. Acta mathematica scientia,Series A, 2016, 36(1): 80-89.

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