Global attractivity in delayed differential equations with applications to ``food-limited'' population model
type: Item
instance of: scholarly article
title: Global attractivity in delayed differential equations with applications to ``food-limited'' population model
zbMATH Open document ID: 1152.34052
author: Xitao Yang
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-06-17T00:00:00Z
review text: The delay differential equation \[ x'(t)=(1+x(t))F(t,x_t) \] is studied. First, a new criterion on the global attractivity of the zero solution is established. The result improves that of \textit{T. Faria} [J. Math. Anal. Appl. 289, 35--54 (2004; Zbl 1054.34122)]. Then the result is applied to the global attractivity of an almost periodic solution to a single food-limited population model with almost periodic parameters.
reviewed by: Yuming Chen
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K14
zbMATH DE Number: 5289208
zbMATH Keywords: delay differential equation
zbMATH Keywords: global attractivity
zbMATH Keywords: almost periodic solution
zbMATH Keywords: population model
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.03.038
OpenAlex ID: W2006929040
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DOI: 10.1016/J.JMAA.2008.03.038
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description: scientific article; zbMATH DE number 5289208