Existence of positive periodic solutions for neutral logarithmic population model with multiple delays.
type: Item
instance of: scholarly article
title: Existence of positive periodic solutions for neutral logarithmic population model with multiple delays.
zbMATH Open document ID: 1061.34053
author: Shiping Lu
author: Weigao Ge
published in: Journal of Computational and Applied Mathematics
publication date: 2004-03-29T00:00:00Z
review text: The authors study the existence of positive periodic solutions for a neutral delay logarithmic population model with multiple delays of the form \[ {dN\over dt}= N(t)\Biggl[r(t)- \sum^N_{j=1} a_i(t)\ln N(t- \sigma_i(t))- \sum^m_{j=1} b_j(t){d\over dt}\ln N(t-\tau_j(t))\Biggr],\tag{1} \] with \(\sigma_j(t)\geq 0\) and \(\tau_j(t)\geq 0\). The goal of this paper is to establish some criteria guaranteeing the existence of positive periodic solutions of (1). Under some suitable assumptions on the data of (1), the authors obtain a new existence result by using an abstract continuation theorem for \(k\)-set contraction and some other analytic techniques.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2062742
zbMATH Keywords: neutral delay logarithmic population model
zbMATH Keywords: \(k\)-set contractive operator
zbMATH Keywords: positive periodic solution
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.cam.2003.08.033
OpenAlex ID: W1984311113
cites work: Q5185568
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DOI: 10.1016/J.CAM.2003.08.033
description: scientific article; zbMATH DE number 2062742