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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Editorial Department of Journal of Nantong University (Natural Science Edition)
2020-03-01
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| Series: | Nantong Daxue xuebao. Ziran kexue ban |
| Subjects: | |
| Online Access: | https://ngzk.cbpt.cnki.net/portal/journal/portal/client/paper/NGZK_3dc8a178-c9ce-46c5-bc92-1c7f3a12f5bf |
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| Summary: | 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. |
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| ISSN: | 1673-2340 |