Dynamics of a stochastic hybrid delay one-predator-two-prey model with harvesting and jumps in a polluted environment
This paper concerns the dynamics of a stochastic, hybrid delay, one-predator-two-prey model with harvesting and Lévy jumps in a polluted environment. Under some basic assumptions, sufficient conditions of stochastic persistence in the mean and extinction of each species are obtained, as well as the...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | Mathematical Modelling and Control |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2025007 |
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| _version_ | 1849703673520717824 |
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| author | Sheng Wang Baoli Lei |
| author_facet | Sheng Wang Baoli Lei |
| author_sort | Sheng Wang |
| collection | DOAJ |
| description | This paper concerns the dynamics of a stochastic, hybrid delay, one-predator-two-prey model with harvesting and Lévy jumps in a polluted environment. Under some basic assumptions, sufficient conditions of stochastic persistence in the mean and extinction of each species are obtained, as well as the existence of optimal harvesting strategy (OHS). Our results show that both time delays and environmental noises affect the survival state of the species. Moreover, the accurate expressions for the optimal harvesting effort (OHE) and the maximum of expectation of sustainable yield (MESY) are given. Finally, some numerical simulations are provided to support our results. |
| format | Article |
| id | doaj-art-0efb8b60ab83403baba100e8ab78fb97 |
| institution | DOAJ |
| issn | 2767-8946 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj-art-0efb8b60ab83403baba100e8ab78fb972025-08-20T03:17:09ZengAIMS PressMathematical Modelling and Control2767-89462025-03-01518510210.3934/mmc.2025007Dynamics of a stochastic hybrid delay one-predator-two-prey model with harvesting and jumps in a polluted environmentSheng Wang0Baoli Lei1School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, ChinaThis paper concerns the dynamics of a stochastic, hybrid delay, one-predator-two-prey model with harvesting and Lévy jumps in a polluted environment. Under some basic assumptions, sufficient conditions of stochastic persistence in the mean and extinction of each species are obtained, as well as the existence of optimal harvesting strategy (OHS). Our results show that both time delays and environmental noises affect the survival state of the species. Moreover, the accurate expressions for the optimal harvesting effort (OHE) and the maximum of expectation of sustainable yield (MESY) are given. Finally, some numerical simulations are provided to support our results.https://www.aimspress.com/article/doi/10.3934/mmc.2025007stochastic predator-prey modelmarkovian switchingtime delaylévy jump |
| spellingShingle | Sheng Wang Baoli Lei Dynamics of a stochastic hybrid delay one-predator-two-prey model with harvesting and jumps in a polluted environment Mathematical Modelling and Control stochastic predator-prey model markovian switching time delay lévy jump |
| title | Dynamics of a stochastic hybrid delay one-predator-two-prey model with harvesting and jumps in a polluted environment |
| title_full | Dynamics of a stochastic hybrid delay one-predator-two-prey model with harvesting and jumps in a polluted environment |
| title_fullStr | Dynamics of a stochastic hybrid delay one-predator-two-prey model with harvesting and jumps in a polluted environment |
| title_full_unstemmed | Dynamics of a stochastic hybrid delay one-predator-two-prey model with harvesting and jumps in a polluted environment |
| title_short | Dynamics of a stochastic hybrid delay one-predator-two-prey model with harvesting and jumps in a polluted environment |
| title_sort | dynamics of a stochastic hybrid delay one predator two prey model with harvesting and jumps in a polluted environment |
| topic | stochastic predator-prey model markovian switching time delay lévy jump |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2025007 |
| work_keys_str_mv | AT shengwang dynamicsofastochastichybriddelayonepredatortwopreymodelwithharvestingandjumpsinapollutedenvironment AT baolilei dynamicsofastochastichybriddelayonepredatortwopreymodelwithharvestingandjumpsinapollutedenvironment |