Linearized oscillations in population dynamics
type: Item
instance of: scholarly article
title: Linearized oscillations in population dynamics
zbMATH Open document ID: 0634.92013
DOI: 10.1007/BF02460139
author: G. Ladas
author: Mustafa R. S. Kulenovic
published in: Bulletin of Mathematical Biology
publication date: 1987-01-01T00:00:00Z
review text: A linearized oscillation theorem due to the authors and \textit{A. Meimaridou} [Q. Appl. Math. 45, 155-164 (1987; Zbl 0627.34076)] and an extension of it are applied to obtain the oscillation of solutions of several equations which have appeared in population dynamics. They include the logistic equation with several delays, Nicholson's blowflies model as described by \textit{W. S. C. Gurney}, \textit{S. P. Blythe} and \textit{R. M. Nisbet} [Nature, Lond. 287, 17-21 (1980)] and the Lasota-Wazewska model of red blood cell supply in an animal. We also developed a linearized oscillation result for difference equations and applied it to several equations taken from the biological literature.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 4033563
zbMATH Keywords: delay differential equation
zbMATH Keywords: linearized oscillation theorem
zbMATH Keywords: logistic equation
zbMATH Keywords: Nicholson's blowflies model
zbMATH Keywords: Lasota-Wazewska model of red blood cell supply
Wikidata QID: Q52614362
MaRDI profile type: Publication
cites work: Oscillations in a delay-logistic equation
cites work: When all solutions of \(x'=-\Sigma q_ i(t)x(t-T_ i(t))\) oscillate
cites work: Q3251626
cites work: On oscillation of nonlinear delay differential equations
cites work: A non-linear difference-differential equation.
full work available at URL: https://doi.org/10.1007/bf02460139
OpenAlex ID: W2044948444
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description: scientific article; zbMATH DE number 4033563