Mackey-Glass model of hematopoiesis with monotone feedback revisited

被引：29

作者：

Berezansky, Leonid ^{[2
]}

Braverman, Elena ^{[1
]}

Idels, Lev ^{[3
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[3] Vancouver Isl Univ, Dept Math, Nanaimo, BC V9S 5J5, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Mackey-Glass equation; Negative feedback; Global asymptotic stability; Permanence; Oscillation; Non-oscillation; Local stability; Blood cell production; GLOBAL ATTRACTIVITY; PERIODIC-SOLUTION; OSCILLATION; EXISTENCE; EQUATIONS; DYNAMICS;

D O I：

10.1016/j.amc.2012.10.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the blood cell production model dx/dt - -alpha x(t) + F-0 theta(n)/theta(n) + x(n)(t - tau)' we review known results. Permanence of solutions, oscillation and stability of a positive equilibrium or a positive periodic solution are analyzed for non-autonomous generalizations of this equation, with both concentrated and distributed delays. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：4892 / 4907

页数：16

共 29 条

[1]

[Anonymous], 1992, STABILITY OSCILLATIO

[2] Linearized oscillation theory for a nonlinear nonautonomous delay differential equation [J].