Global attractivity in the discrete Lasota-Wazewska model
type: Item
instance of: scholarly article
title: Global attractivity in the discrete Lasota-Wazewska model
zbMATH Open document ID: 0977.39008
published in: Applied Mathematics. Series B (English Edition)
publication date: 2002-01-09T00:00:00Z
review text: The author studies the difference equation \[ N_{n+1}-N_{n}=-\mu N_n+pe^{-r{N_{n-k}}} \] which is the discrete analogue of the Lasota-Wazewska-Czyzewska equation which models the growth of red blood cells. He gives a sufficient condition for all positive solutions to be attracted to the unique equilibrium solution which sharpens the condition given by \textit{M. Chen} and \textit{J. S. Yu} [Soochow J. Math. 25, No. 1, 1-9 (1999; Zbl 0930.39012)].
reviewed by: Peter Y. H. Pang
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 92C17
zbMATH DE Number: 1563603
zbMATH Keywords: global attractivity
zbMATH Keywords: discrete Lasota-Wazewska model
zbMATH Keywords: difference equation
zbMATH Keywords: Lasota-Wazewska-Czyzewska equation
zbMATH Keywords: growth of red blood cells
zbMATH Keywords: positive solutions
zbMATH Keywords: equilibrium solution
author: Jingwen Li
MaRDI profile type: Publication
full work available at URL: s11766-000-0035-2
OpenAlex ID: W199039924
cites work: Stability analysis of models of cell production systems
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cites work: Global Attractivity in Nonlinear Delay Difference Equations
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DOI: 10.1007/S11766-000-0035-2
description: scientific article; zbMATH DE number 1563603