Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay
A Nicholson's blowflies model with feedback control and time delay is studied. By applying the comparison theorem of the differential equation and fluctuation lemma and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence, extinction, and existence o...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/798961 |
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| _version_ | 1832554377165930496 |
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| author | Haihui Wu Shengbin Yu |
| author_facet | Haihui Wu Shengbin Yu |
| author_sort | Haihui Wu |
| collection | DOAJ |
| description | A Nicholson's blowflies model with feedback control and time delay is studied. By applying the comparison theorem of the differential equation and fluctuation lemma and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence, extinction, and existence of a unique globally attractive positive almost periodic solution of the system are obtained. It is proved that the feedback control variable and time delay have no influence on the permanence and extinction of the system. |
| format | Article |
| id | doaj-art-a40a3d865841491e87a48e2e94e192c0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a40a3d865841491e87a48e2e94e192c02025-02-03T05:51:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/798961798961Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time DelayHaihui Wu0Shengbin Yu1Sunshine College, Fuzhou University, Fuzhou, Fujian 350015, ChinaSunshine College, Fuzhou University, Fuzhou, Fujian 350015, ChinaA Nicholson's blowflies model with feedback control and time delay is studied. By applying the comparison theorem of the differential equation and fluctuation lemma and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence, extinction, and existence of a unique globally attractive positive almost periodic solution of the system are obtained. It is proved that the feedback control variable and time delay have no influence on the permanence and extinction of the system.http://dx.doi.org/10.1155/2013/798961 |
| spellingShingle | Haihui Wu Shengbin Yu Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay Discrete Dynamics in Nature and Society |
| title | Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay |
| title_full | Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay |
| title_fullStr | Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay |
| title_full_unstemmed | Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay |
| title_short | Permanence, Extinction, and Almost Periodic Solution of a Nicholson's Blowflies Model with Feedback Control and Time Delay |
| title_sort | permanence extinction and almost periodic solution of a nicholson s blowflies model with feedback control and time delay |
| url | http://dx.doi.org/10.1155/2013/798961 |
| work_keys_str_mv | AT haihuiwu permanenceextinctionandalmostperiodicsolutionofanicholsonsblowfliesmodelwithfeedbackcontrolandtimedelay AT shengbinyu permanenceextinctionandalmostperiodicsolutionofanicholsonsblowfliesmodelwithfeedbackcontrolandtimedelay |