Existence of positive almost-periodic solutions for a Nicholson's blowflies model

This article concerns the existence of solutions to a first-order differential equation with time-varying delay, which is known as a Nicholson's blowflies model. By using fixed a point theorem and the Lyapunov functional method, we establish the existence and locally exponential stability...

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Main Authors:	Qing-Long Liu, Hui-Sheng Ding
Format:	Article
Language:	English
Published:	Texas State University 2013-02-01
Series:	Electronic Journal of Differential Equations
Subjects:	Nicholson's blowflies model almost periodic solution exponential stability
Online Access:	http://ejde.math.txstate.edu/Volumes/2013/56/abstr.html

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spelling	doaj-41ff99b10fd14cbbac4d3a07e264aefc2020-11-25T01:32:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-02-01201356,19Existence of positive almost-periodic solutions for a Nicholson's blowflies modelQing-Long LiuHui-Sheng DingThis article concerns the existence of solutions to a first-order differential equation with time-varying delay, which is known as a Nicholson's blowflies model. By using fixed a point theorem and the Lyapunov functional method, we establish the existence and locally exponential stability of almost periodic solutions for the model. Also, we apply our results to two examples, for which some earlier results can not be applied. http://ejde.math.txstate.edu/Volumes/2013/56/abstr.htmlNicholson's blowflies modelalmost periodic solutionexponential stability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Qing-Long Liu Hui-Sheng Ding
spellingShingle	Qing-Long Liu Hui-Sheng Ding Existence of positive almost-periodic solutions for a Nicholson's blowflies model Electronic Journal of Differential Equations Nicholson's blowflies model almost periodic solution exponential stability
author_facet	Qing-Long Liu Hui-Sheng Ding
author_sort	Qing-Long Liu
title	Existence of positive almost-periodic solutions for a Nicholson's blowflies model
title_short	Existence of positive almost-periodic solutions for a Nicholson's blowflies model
title_full	Existence of positive almost-periodic solutions for a Nicholson's blowflies model
title_fullStr	Existence of positive almost-periodic solutions for a Nicholson's blowflies model
title_full_unstemmed	Existence of positive almost-periodic solutions for a Nicholson's blowflies model
title_sort	existence of positive almost-periodic solutions for a nicholson's blowflies model
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2013-02-01
description	This article concerns the existence of solutions to a first-order differential equation with time-varying delay, which is known as a Nicholson's blowflies model. By using fixed a point theorem and the Lyapunov functional method, we establish the existence and locally exponential stability of almost periodic solutions for the model. Also, we apply our results to two examples, for which some earlier results can not be applied.
topic	Nicholson's blowflies model almost periodic solution exponential stability
url	http://ejde.math.txstate.edu/Volumes/2013/56/abstr.html
work_keys_str_mv	AT qinglongliu existenceofpositivealmostperiodicsolutionsforanicholsonsblowfliesmodel AT huishengding existenceofpositivealmostperiodicsolutionsforanicholsonsblowfliesmodel
_version_	1725082248438349824

Existence of positive almost-periodic solutions for a Nicholson's blowflies model

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