On oscillation of a food-limited population model with time delay
type: Item
instance of: scholarly article
title: On oscillation of a food-limited population model with time delay
zbMATH Open document ID: 1026.34075
DOI: 10.1155/S1085337503209040
published in: Abstract and Applied Analysis
publication date: 2003-03-17T00:00:00Z
full work available at URL: https://eudml.org/doc/50423
review text: Explicit oscillation and nonoscillation conditions for the scalar nonlinear delay differential equation \[ N'(t)=r(t)N(t)\frac{K-N(h(t))}{K+s(t)N(g(t))} \] are established, where \(r(t)\geq 0\), \(s(t)\geq 0\) are Lebesgue measurable locally essentially bounded functions, \(h,g:[0,+\infty)\to \mathbb{R}\) are Lebesgue measurable functions, \(h(t)\leq t\), \(g(t)\leq t\),\break \(\lim_{t\to +\infty}h(t)=+\infty\), \(\lim_{t\to +\infty}g(t)=+\infty\), and \(K>0\). Some generalization of the above-mentioned equation is considered, too.
reviewed by: Robert Hakl
Mathematics Subject Classification ID: 34K11
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1883735
zbMATH Keywords: oscillation criteria
zbMATH Keywords: nonoscillation criteria
author: Leonid Berezansky
author: E. Braverman
MaRDI profile type: Publication
OpenAlex ID: W1995291913
description: scientific article; zbMATH DE number 1883735