The Existence and Uniqueness of Positive Periodic Solutions for a Class of Nicholson-Type Systems with Impulses and Delays

By establishing the equivalence, respectively, to the existence and uniqueness of positive periodic solutions for corresponding delay Nicholson-type systems without impulses, some criteria for the existence and uniqueness of positive periodic solutions for a class of Nicholson-type systems with impu...

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Main Authors: Ruojun Zhang, Fuyun Lian
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/980935
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author Ruojun Zhang
Fuyun Lian
author_facet Ruojun Zhang
Fuyun Lian
author_sort Ruojun Zhang
collection DOAJ
description By establishing the equivalence, respectively, to the existence and uniqueness of positive periodic solutions for corresponding delay Nicholson-type systems without impulses, some criteria for the existence and uniqueness of positive periodic solutions for a class of Nicholson-type systems with impulses and delays are established. The results of this paper extend some earlier works reported in the literature.
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series Abstract and Applied Analysis
spelling doaj-art-6b2fd2917d9e48dabefb3331f37353852025-02-03T05:47:31ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/980935980935The Existence and Uniqueness of Positive Periodic Solutions for a Class of Nicholson-Type Systems with Impulses and DelaysRuojun Zhang0Fuyun Lian1School of Mathematical Sciences, Ocean University of China, Qingdao 266100, ChinaSchool of Mathematical Sciences, Ocean University of China, Qingdao 266100, ChinaBy establishing the equivalence, respectively, to the existence and uniqueness of positive periodic solutions for corresponding delay Nicholson-type systems without impulses, some criteria for the existence and uniqueness of positive periodic solutions for a class of Nicholson-type systems with impulses and delays are established. The results of this paper extend some earlier works reported in the literature.http://dx.doi.org/10.1155/2013/980935
spellingShingle Ruojun Zhang
Fuyun Lian
The Existence and Uniqueness of Positive Periodic Solutions for a Class of Nicholson-Type Systems with Impulses and Delays
Abstract and Applied Analysis
title The Existence and Uniqueness of Positive Periodic Solutions for a Class of Nicholson-Type Systems with Impulses and Delays
title_full The Existence and Uniqueness of Positive Periodic Solutions for a Class of Nicholson-Type Systems with Impulses and Delays
title_fullStr The Existence and Uniqueness of Positive Periodic Solutions for a Class of Nicholson-Type Systems with Impulses and Delays
title_full_unstemmed The Existence and Uniqueness of Positive Periodic Solutions for a Class of Nicholson-Type Systems with Impulses and Delays
title_short The Existence and Uniqueness of Positive Periodic Solutions for a Class of Nicholson-Type Systems with Impulses and Delays
title_sort existence and uniqueness of positive periodic solutions for a class of nicholson type systems with impulses and delays
url http://dx.doi.org/10.1155/2013/980935
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