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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Wiley
2018-01-01
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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 |
id | doaj-art-fd6e6918d83840c8a63dedb59af3a5df |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2018-01-01 |
publisher | Wiley |
record_format | Article |
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 |