Global Dynamics of a Filippov-Type Predator-Prey System with the Prey Refuge
Based on the classical predator-prey model, a class of Filippov predator-prey model with prey refuge is studied on account of the prey refuge and the proportional control threshold strategy. The local and global dynamics of this model are qualitatively analyzed by using the theory of the differentia...
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| Format: | Article |
| Language: | English |
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Editorial Department of Journal of Nantong University (Natural Science Edition)
2020-03-01
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| Series: | Nantong Daxue xuebao. Ziran kexue ban |
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| Online Access: | https://ngzk.cbpt.cnki.net/portal/journal/portal/client/paper/NGZK_3dc8a178-c9ce-46c5-bc92-1c7f3a12f5bf |
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| _version_ | 1850170847102238720 |
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| author | YANG Miao;HUANG Lihong;WANG Jiafu;HUANG Chuangxia |
| author_facet | YANG Miao;HUANG Lihong;WANG Jiafu;HUANG Chuangxia |
| author_sort | YANG Miao;HUANG Lihong;WANG Jiafu;HUANG Chuangxia |
| collection | DOAJ |
| description | Based on the classical predator-prey model, a class of Filippov predator-prey model with prey refuge is studied on account of the prey refuge and the proportional control threshold strategy. The local and global dynamics of this model are qualitatively analyzed by using the theory of the differential equation with the discontinuous right-hand side.Under certain parameter conditions, the correlation results of the global asymptotic stability of the model are obtained. |
| format | Article |
| id | doaj-art-b64e6d33c4804b65b994cb026ff9b7ef |
| institution | OA Journals |
| issn | 1673-2340 |
| language | English |
| publishDate | 2020-03-01 |
| publisher | Editorial Department of Journal of Nantong University (Natural Science Edition) |
| record_format | Article |
| series | Nantong Daxue xuebao. Ziran kexue ban |
| spelling | doaj-art-b64e6d33c4804b65b994cb026ff9b7ef2025-08-20T02:20:23ZengEditorial Department of Journal of Nantong University (Natural Science Edition)Nantong Daxue xuebao. Ziran kexue ban1673-23402020-03-011901566110.12194/j.ntu.20191021001Global Dynamics of a Filippov-Type Predator-Prey System with the Prey RefugeYANG Miao;HUANG Lihong;WANG Jiafu;HUANG ChuangxiaBased on the classical predator-prey model, a class of Filippov predator-prey model with prey refuge is studied on account of the prey refuge and the proportional control threshold strategy. The local and global dynamics of this model are qualitatively analyzed by using the theory of the differential equation with the discontinuous right-hand side.Under certain parameter conditions, the correlation results of the global asymptotic stability of the model are obtained.https://ngzk.cbpt.cnki.net/portal/journal/portal/client/paper/NGZK_3dc8a178-c9ce-46c5-bc92-1c7f3a12f5bffilippov systemprey refugepredator-prey modelglobal asymptotic stability |
| spellingShingle | YANG Miao;HUANG Lihong;WANG Jiafu;HUANG Chuangxia Global Dynamics of a Filippov-Type Predator-Prey System with the Prey Refuge Nantong Daxue xuebao. Ziran kexue ban filippov system prey refuge predator-prey model global asymptotic stability |
| title | Global Dynamics of a Filippov-Type Predator-Prey System with the Prey Refuge |
| title_full | Global Dynamics of a Filippov-Type Predator-Prey System with the Prey Refuge |
| title_fullStr | Global Dynamics of a Filippov-Type Predator-Prey System with the Prey Refuge |
| title_full_unstemmed | Global Dynamics of a Filippov-Type Predator-Prey System with the Prey Refuge |
| title_short | Global Dynamics of a Filippov-Type Predator-Prey System with the Prey Refuge |
| title_sort | global dynamics of a filippov type predator prey system with the prey refuge |
| topic | filippov system prey refuge predator-prey model global asymptotic stability |
| url | https://ngzk.cbpt.cnki.net/portal/journal/portal/client/paper/NGZK_3dc8a178-c9ce-46c5-bc92-1c7f3a12f5bf |
| work_keys_str_mv | AT yangmiaohuanglihongwangjiafuhuangchuangxia globaldynamicsofafilippovtypepredatorpreysystemwiththepreyrefuge |