Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation
In this paper, we consider a stochastic two-species predator–prey system with modified Leslie–Gower. Meanwhile, we assume that hunting cooperation occurs in the predators. By using Itô formula and constructing a proper Lyapunov function, we first show that there is a unique global positive solution...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Biological Dynamics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2024.2366495 |
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| _version_ | 1846136187949940736 |
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| author | Chao Li Peilin Shi |
| author_facet | Chao Li Peilin Shi |
| author_sort | Chao Li |
| collection | DOAJ |
| description | In this paper, we consider a stochastic two-species predator–prey system with modified Leslie–Gower. Meanwhile, we assume that hunting cooperation occurs in the predators. By using Itô formula and constructing a proper Lyapunov function, we first show that there is a unique global positive solution for any given positive initial value. Furthermore, based on Chebyshev inequality, the stochastic ultimate boundedness and stochastic permanence are discussed. Then, under some conditions, we prove the persistence in mean and extinction of system. Finally, we verify our results by numerical simulations. |
| format | Article |
| id | doaj-art-9803c3ead00b4fe58ae3492fe7d27821 |
| institution | Kabale University |
| issn | 1751-3758 1751-3766 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj-art-9803c3ead00b4fe58ae3492fe7d278212024-12-09T08:03:24ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662024-12-0118110.1080/17513758.2024.2366495Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperationChao Li0Peilin Shi1Department of Mathematics, Taiyuan University of Technology, Taiyuan, People's Republic of ChinaDepartment of Mathematics, Taiyuan University of Technology, Taiyuan, People's Republic of ChinaIn this paper, we consider a stochastic two-species predator–prey system with modified Leslie–Gower. Meanwhile, we assume that hunting cooperation occurs in the predators. By using Itô formula and constructing a proper Lyapunov function, we first show that there is a unique global positive solution for any given positive initial value. Furthermore, based on Chebyshev inequality, the stochastic ultimate boundedness and stochastic permanence are discussed. Then, under some conditions, we prove the persistence in mean and extinction of system. Finally, we verify our results by numerical simulations.https://www.tandfonline.com/doi/10.1080/17513758.2024.2366495Stochastic predator–prey systemhunting cooperationstochastic ultimate boundednessstochastic permanenceextinction60H10 |
| spellingShingle | Chao Li Peilin Shi Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation Journal of Biological Dynamics Stochastic predator–prey system hunting cooperation stochastic ultimate boundedness stochastic permanence extinction 60H10 |
| title | Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation |
| title_full | Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation |
| title_fullStr | Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation |
| title_full_unstemmed | Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation |
| title_short | Dynamics of a stochastic modified Leslie–Gower predator–prey system with hunting cooperation |
| title_sort | dynamics of a stochastic modified leslie gower predator prey system with hunting cooperation |
| topic | Stochastic predator–prey system hunting cooperation stochastic ultimate boundedness stochastic permanence extinction 60H10 |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2024.2366495 |
| work_keys_str_mv | AT chaoli dynamicsofastochasticmodifiedlesliegowerpredatorpreysystemwithhuntingcooperation AT peilinshi dynamicsofastochasticmodifiedlesliegowerpredatorpreysystemwithhuntingcooperation |