Permanence for a Discrete Model with Feedback Control and Delay
The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. But for the system itself, this condition may not be necessary. Here, we use new me...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/945109 |
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| _version_ | 1832553337618169856 |
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| author | Yong-Hong Fan Lin-Lin Wang |
| author_facet | Yong-Hong Fan Lin-Lin Wang |
| author_sort | Yong-Hong Fan |
| collection | DOAJ |
| description | The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. But for the system itself, this condition may not be necessary. Here, we use new methods instead of the comparison theorem to get the permanence of the system in consideration; the additional condition in Chen's paper (2007) is deleted. |
| format | Article |
| id | doaj-art-816c754b5d864bdd8d1423523c2204df |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-816c754b5d864bdd8d1423523c2204df2025-02-03T05:54:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/945109945109Permanence for a Discrete Model with Feedback Control and DelayYong-Hong Fan0Lin-Lin Wang1School of Mathematics and Information, Ludong University, Yantai, Shandong 264025, ChinaSchool of Mathematics and Information, Ludong University, Yantai, Shandong 264025, ChinaThe permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. But for the system itself, this condition may not be necessary. Here, we use new methods instead of the comparison theorem to get the permanence of the system in consideration; the additional condition in Chen's paper (2007) is deleted.http://dx.doi.org/10.1155/2008/945109 |
| spellingShingle | Yong-Hong Fan Lin-Lin Wang Permanence for a Discrete Model with Feedback Control and Delay Discrete Dynamics in Nature and Society |
| title | Permanence for a Discrete Model with Feedback Control and Delay |
| title_full | Permanence for a Discrete Model with Feedback Control and Delay |
| title_fullStr | Permanence for a Discrete Model with Feedback Control and Delay |
| title_full_unstemmed | Permanence for a Discrete Model with Feedback Control and Delay |
| title_short | Permanence for a Discrete Model with Feedback Control and Delay |
| title_sort | permanence for a discrete model with feedback control and delay |
| url | http://dx.doi.org/10.1155/2008/945109 |
| work_keys_str_mv | AT yonghongfan permanenceforadiscretemodelwithfeedbackcontrolanddelay AT linlinwang permanenceforadiscretemodelwithfeedbackcontrolanddelay |