Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvesting
Abstract This paper investigates a delayed predator-prey model with discontinuous harvesting and Beddington–DeAngelis functional response. Using the theory of differential inclusion theory, the existence of positive solutions in the sense of Filippov is discussed. Under reasonable assumptions and pe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-023-01806-2 |
| _version_ | 1797388157624254464 |
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| author | Yingying Wang Zhinan Xia |
| author_facet | Yingying Wang Zhinan Xia |
| author_sort | Yingying Wang |
| collection | DOAJ |
| description | Abstract This paper investigates a delayed predator-prey model with discontinuous harvesting and Beddington–DeAngelis functional response. Using the theory of differential inclusion theory, the existence of positive solutions in the sense of Filippov is discussed. Under reasonable assumptions and periodic disturbances, the existence of positive periodic solutions of the model is studied based on the theory of Mawhin’s coincidence degree. Finally, through numerical simulation, the correctness and feasibility of the conclusions are verified. |
| first_indexed | 2024-03-08T22:36:47Z |
| format | Article |
| id | doaj.art-c7c0e9f4f33545348aba7f68a81c75af |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-03-08T22:36:47Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-c7c0e9f4f33545348aba7f68a81c75af2023-12-17T12:25:13ZengSpringerOpenBoundary Value Problems1687-27702023-12-012023111910.1186/s13661-023-01806-2Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvestingYingying Wang0Zhinan Xia1Department of Applied Mathematics, Zhejiang University of TechnologyDepartment of Applied Mathematics, Zhejiang University of TechnologyAbstract This paper investigates a delayed predator-prey model with discontinuous harvesting and Beddington–DeAngelis functional response. Using the theory of differential inclusion theory, the existence of positive solutions in the sense of Filippov is discussed. Under reasonable assumptions and periodic disturbances, the existence of positive periodic solutions of the model is studied based on the theory of Mawhin’s coincidence degree. Finally, through numerical simulation, the correctness and feasibility of the conclusions are verified.https://doi.org/10.1186/s13661-023-01806-2Discontinuous harvestingFunctional differential inclusionPeriodic solutionBeddington–DeAngelis functional responseMawhin coincidence degree |
| spellingShingle | Yingying Wang Zhinan Xia Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvesting Boundary Value Problems Discontinuous harvesting Functional differential inclusion Periodic solution Beddington–DeAngelis functional response Mawhin coincidence degree |
| title | Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvesting |
| title_full | Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvesting |
| title_fullStr | Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvesting |
| title_full_unstemmed | Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvesting |
| title_short | Periodic dynamics of predator-prey system with Beddington–DeAngelis functional response and discontinuous harvesting |
| title_sort | periodic dynamics of predator prey system with beddington deangelis functional response and discontinuous harvesting |
| topic | Discontinuous harvesting Functional differential inclusion Periodic solution Beddington–DeAngelis functional response Mawhin coincidence degree |
| url | https://doi.org/10.1186/s13661-023-01806-2 |
| work_keys_str_mv | AT yingyingwang periodicdynamicsofpredatorpreysystemwithbeddingtondeangelisfunctionalresponseanddiscontinuousharvesting AT zhinanxia periodicdynamicsofpredatorpreysystemwithbeddingtondeangelisfunctionalresponseanddiscontinuousharvesting |