Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model

This paper is concerned with a delay logarithmic population model. Under proper conditions, we employ a novel proof to establish a criterion on guaranteeing the existence and global exponential stability of positive almost periodic solutions for the model. Moreover, an example and its numerical simu...

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Main Authors: Wei Chen, Wentao Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/394105
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spelling doaj-3ea9a30c88384df1bd26c54e29cad1092020-11-24T21:38:20ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/394105394105Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population ModelWei Chen0Wentao Wang1School of Mathematics and Information, Shanghai Lixin University of Commerce, Shanghai 201620, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, ChinaThis paper is concerned with a delay logarithmic population model. Under proper conditions, we employ a novel proof to establish a criterion on guaranteeing the existence and global exponential stability of positive almost periodic solutions for the model. Moreover, an example and its numerical simulation are given to illustrate the main results.http://dx.doi.org/10.1155/2014/394105
collection DOAJ
language English
format Article
sources DOAJ
author Wei Chen
Wentao Wang
spellingShingle Wei Chen
Wentao Wang
Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model
Journal of Applied Mathematics
author_facet Wei Chen
Wentao Wang
author_sort Wei Chen
title Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model
title_short Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model
title_full Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model
title_fullStr Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model
title_full_unstemmed Global Exponential Stability of Positive Almost Periodic Solutions for a Delay Logarithmic Population Model
title_sort global exponential stability of positive almost periodic solutions for a delay logarithmic population model
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description This paper is concerned with a delay logarithmic population model. Under proper conditions, we employ a novel proof to establish a criterion on guaranteeing the existence and global exponential stability of positive almost periodic solutions for the model. Moreover, an example and its numerical simulation are given to illustrate the main results.
url http://dx.doi.org/10.1155/2014/394105
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