Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response
In this paper, cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response is studied. By using comparison theorem and some analysis techniques as well as the coincidence degree theory, sufficient conditions are obtained for the permanence, extinction and the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2013-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000527 |
| _version_ | 1811304728334696448 |
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| author | Yao Zhijian Xie Shengli Yu Nengfu |
| author_facet | Yao Zhijian Xie Shengli Yu Nengfu |
| author_sort | Yao Zhijian |
| collection | DOAJ |
| description | In this paper, cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response is studied. By using comparison theorem and some analysis techniques as well as the coincidence degree theory, sufficient conditions are obtained for the permanence, extinction and the existence of positive periodic solution. |
| first_indexed | 2024-04-13T08:12:34Z |
| format | Article |
| id | doaj.art-7556f568078d49d1974380b251783074 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-04-13T08:12:34Z |
| publishDate | 2013-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-7556f568078d49d1974380b2517830742022-12-22T02:54:54ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-10-0121321322310.1016/j.joems.2013.04.008Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional responseYao ZhijianXie ShengliYu NengfuIn this paper, cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response is studied. By using comparison theorem and some analysis techniques as well as the coincidence degree theory, sufficient conditions are obtained for the permanence, extinction and the existence of positive periodic solution.http://www.sciencedirect.com/science/article/pii/S1110256X13000527Impulsive cooperative predator–prey systemBeddington–DeAngelis functional responsePermanenceExtinctionPeriodic solutionCoincidence degree |
| spellingShingle | Yao Zhijian Xie Shengli Yu Nengfu Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response Journal of the Egyptian Mathematical Society Impulsive cooperative predator–prey system Beddington–DeAngelis functional response Permanence Extinction Periodic solution Coincidence degree |
| title | Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response |
| title_full | Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response |
| title_fullStr | Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response |
| title_full_unstemmed | Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response |
| title_short | Dynamics of cooperative predator–prey system with impulsive effects and Beddington–DeAngelis functional response |
| title_sort | dynamics of cooperative predator prey system with impulsive effects and beddington deangelis functional response |
| topic | Impulsive cooperative predator–prey system Beddington–DeAngelis functional response Permanence Extinction Periodic solution Coincidence degree |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X13000527 |
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