Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients

被引：31

作者：

Braverman, E. ^{[1
]}

Saker, S. H. ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

permanence; global attractivity; oscillation and nonoscillation; discrete hematopoiesis model;

D O I：

10.1016/j.na.2006.09.056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the nonlinear delay difference equation with periodic coefficients Pn+l - P-n = -delta(n)p(n) + beta(n)/1 + (p(n-omega)) and demonstrate that solutions are permanent. The existence of a positive periodic solution is proven and sufficient conditions for the attractivity of this solution are obtained. Oscillation and nonoscillation about the positive periodic solution is considered. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2955 / 2965

页数：11

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