Global behaviour of a discrete haematopoiesis model
type: Item
instance of: scholarly article
title: Global behaviour of a discrete haematopoiesis model
zbMATH Open document ID: 1068.39029
author: Xianqiang Yang
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2005-03-07T00:00:00Z
review text: The authors consider the difference equation \[ \Delta y_n=-\alpha y_n+\frac{\beta y_{n-k}}{1+y_{n-k}^p},n=1,2,\ldots , \] and obtain some sufficient conditions for global asymptotic stability and oscillation of solutions of this equation, where \(\alpha \in (0,1),\beta \in (\alpha ,\infty ),p\in (1,\infty )\), \(k\) is a nonnegative integer.
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A20
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2141206
zbMATH Keywords: rational difference equation
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: oscillation
reviewed by: Wan-Tong Li
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2141206