Permanence for a competition and cooperation model of enterprise cluster with delays and feedback controls
In this article, based on population ecology theory, we present a competition and cooperation system of the enterprise cluster with time delays and feedback controls. By using differential inequalities, we obtain sufficient conditions for the permanence of the system, which shows that the time d...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/22/abstr.html |
| _version_ | 1818562735652208640 |
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| author | Ping Liu Yongkun Li |
| author_facet | Ping Liu Yongkun Li |
| author_sort | Ping Liu |
| collection | DOAJ |
| description | In this article, based on population ecology theory, we present a competition and cooperation system of the enterprise cluster with time delays and feedback controls. By using differential inequalities, we obtain sufficient conditions for the permanence of the system, which shows that the time delay, feedback control and initial production have an influence on the persistent properties of the system. We further interpret our result from the economic point of view. Some suggestions about enterprise cluster are put forward through the analysis of our results. |
| first_indexed | 2024-12-14T01:07:39Z |
| format | Article |
| id | doaj.art-b702e39f80f64d73a6c5273f9ea8608c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T01:07:39Z |
| publishDate | 2013-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-b702e39f80f64d73a6c5273f9ea8608c2022-12-21T23:22:54ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-01-01201322,19Permanence for a competition and cooperation model of enterprise cluster with delays and feedback controlsPing LiuYongkun LiIn this article, based on population ecology theory, we present a competition and cooperation system of the enterprise cluster with time delays and feedback controls. By using differential inequalities, we obtain sufficient conditions for the permanence of the system, which shows that the time delay, feedback control and initial production have an influence on the persistent properties of the system. We further interpret our result from the economic point of view. Some suggestions about enterprise cluster are put forward through the analysis of our results.http://ejde.math.txstate.edu/Volumes/2013/22/abstr.htmlEnterprise clusterpermanencecompetition and cooperation modeltime delayfeedback control |
| spellingShingle | Ping Liu Yongkun Li Permanence for a competition and cooperation model of enterprise cluster with delays and feedback controls Electronic Journal of Differential Equations Enterprise cluster permanence competition and cooperation model time delay feedback control |
| title | Permanence for a competition and cooperation model of enterprise cluster with delays and feedback controls |
| title_full | Permanence for a competition and cooperation model of enterprise cluster with delays and feedback controls |
| title_fullStr | Permanence for a competition and cooperation model of enterprise cluster with delays and feedback controls |
| title_full_unstemmed | Permanence for a competition and cooperation model of enterprise cluster with delays and feedback controls |
| title_short | Permanence for a competition and cooperation model of enterprise cluster with delays and feedback controls |
| title_sort | permanence for a competition and cooperation model of enterprise cluster with delays and feedback controls |
| topic | Enterprise cluster permanence competition and cooperation model time delay feedback control |
| url | http://ejde.math.txstate.edu/Volumes/2013/22/abstr.html |
| work_keys_str_mv | AT pingliu permanenceforacompetitionandcooperationmodelofenterpriseclusterwithdelaysandfeedbackcontrols AT yongkunli permanenceforacompetitionandcooperationmodelofenterpriseclusterwithdelaysandfeedbackcontrols |