Permanence and Existence of Periodic Solutions for Nicholson’s Blowflies Model with Feedback Control and Delay on Time Scales

Sufficient conditions are established for the permanence in a delayed Nicholson’s blowflies model with feedback control on time scales. Our investigation confirms that the bounded feedback terms do not have any influence on the permanence of this system.

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Main Authors: Lin-Lin Wang, Yong-Hong Fan
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/3403127
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author Lin-Lin Wang
Yong-Hong Fan
author_facet Lin-Lin Wang
Yong-Hong Fan
author_sort Lin-Lin Wang
collection DOAJ
description Sufficient conditions are established for the permanence in a delayed Nicholson’s blowflies model with feedback control on time scales. Our investigation confirms that the bounded feedback terms do not have any influence on the permanence of this system.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2018-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-fd6e6918d83840c8a63dedb59af3a5df2025-02-03T01:33:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/34031273403127Permanence and Existence of Periodic Solutions for Nicholson’s Blowflies Model with Feedback Control and Delay on Time ScalesLin-Lin Wang0Yong-Hong Fan1School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, ChinaSchool of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, ChinaSufficient conditions are established for the permanence in a delayed Nicholson’s blowflies model with feedback control on time scales. Our investigation confirms that the bounded feedback terms do not have any influence on the permanence of this system.http://dx.doi.org/10.1155/2018/3403127
spellingShingle Lin-Lin Wang
Yong-Hong Fan
Permanence and Existence of Periodic Solutions for Nicholson’s Blowflies Model with Feedback Control and Delay on Time Scales
Discrete Dynamics in Nature and Society
title Permanence and Existence of Periodic Solutions for Nicholson’s Blowflies Model with Feedback Control and Delay on Time Scales
title_full Permanence and Existence of Periodic Solutions for Nicholson’s Blowflies Model with Feedback Control and Delay on Time Scales
title_fullStr Permanence and Existence of Periodic Solutions for Nicholson’s Blowflies Model with Feedback Control and Delay on Time Scales
title_full_unstemmed Permanence and Existence of Periodic Solutions for Nicholson’s Blowflies Model with Feedback Control and Delay on Time Scales
title_short Permanence and Existence of Periodic Solutions for Nicholson’s Blowflies Model with Feedback Control and Delay on Time Scales
title_sort permanence and existence of periodic solutions for nicholson s blowflies model with feedback control and delay on time scales
url http://dx.doi.org/10.1155/2018/3403127
work_keys_str_mv AT linlinwang permanenceandexistenceofperiodicsolutionsfornicholsonsblowfliesmodelwithfeedbackcontrolanddelayontimescales
AT yonghongfan permanenceandexistenceofperiodicsolutionsfornicholsonsblowfliesmodelwithfeedbackcontrolanddelayontimescales