The positive solutions of nonautonomous hyperlogistic delay difference equations
type: Item
instance of: scholarly article
title: The positive solutions of nonautonomous hyperlogistic delay difference equations
zbMATH Open document ID: 1071.39010
DOI: 10.1016/S0898-1221(04)90112-5
author: Yuji Liu
author: Weigao Ge
publication date: 2005-03-08T00:00:00Z
review text: The authors consider the nonautonomous hyperlogistic delay difference equation \[ \Delta x_n=p_n x_n (1-x_{n-k_n})^r, \quad n=0,1,\dots. \] Sufficient conditions are established to guarantee every solution of the equation to be positive. Sufficient conditions are also offered to ensure every positive solution to converge to the equilibrium \(x=1\) of the model, or to oscillate about 1.
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 2142377
zbMATH Keywords: global attractivity
zbMATH Keywords: hyperlogistic delay difference equation
zbMATH Keywords: oscillation
zbMATH Keywords: positive solutions
reviewed by: Patricia J. Y. Wong
MaRDI profile type: Publication
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full work available at URL: s0898-1221(04)90112-5
OpenAlex ID: W1976330918
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2142377