Global exponential stability of periodic solutions in a nonsmooth model of hematopoiesis with time-varying delays

被引：13

作者：

Tan, Yanxiang ^{[1
,2
]}

Zhang, Mengmeng ^{[3
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

[3] Anhui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Anhui, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 16期

关键词：

hematopoiesis model; periodic solution; global exponential stability; discontinuous harvesting; Lyapunov function; ATTRACTIVITY; OSCILLATION; EXISTENCE;

D O I：

10.1002/mma.4448

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a model of hematopoiesis with time-varying delays and discontinuous harvesting, which is described by a nonsmooth dynamical system. Based on a newly developed method, nonsmooth analysis, and the generalized Lyapunov method, some new delay-dependent criteria are established to ensure the existence and global exponential stability of positive periodic solutions. Moreover, an example with numerical simulations is presented to demonstrate the effectiveness of theoretical results. Copyright (C) 2017 John Wiley & Sons, Ltd.

引用

页码：5986 / 5995

页数：10

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