Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching
Considering the impacts of white noise, Holling-type II functional response, and regime switching, we formulate a stochastic predator-prey model in this paper. By constructing some suitable functionals, we establish the sufficient criteria of the stationary distribution and stochastic permanence. By...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6672030 |
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| _version_ | 1832566014832803840 |
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| author | Weili Kong Yuanfu Shao |
| author_facet | Weili Kong Yuanfu Shao |
| author_sort | Weili Kong |
| collection | DOAJ |
| description | Considering the impacts of white noise, Holling-type II functional response, and regime switching, we formulate a stochastic predator-prey model in this paper. By constructing some suitable functionals, we establish the sufficient criteria of the stationary distribution and stochastic permanence. By numerical simulations, we illustrate the results and analyze the influence of regime switching on the dynamics. |
| format | Article |
| id | doaj-art-aa6ce2e1517042229ba9d468e1bb1905 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-aa6ce2e1517042229ba9d468e1bb19052025-02-03T01:05:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66720306672030Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime SwitchingWeili Kong0Yuanfu Shao1College of Teacher Education, Qujing Normal University, Qujing, Yunnan 655011, ChinaCollege of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaConsidering the impacts of white noise, Holling-type II functional response, and regime switching, we formulate a stochastic predator-prey model in this paper. By constructing some suitable functionals, we establish the sufficient criteria of the stationary distribution and stochastic permanence. By numerical simulations, we illustrate the results and analyze the influence of regime switching on the dynamics.http://dx.doi.org/10.1155/2021/6672030 |
| spellingShingle | Weili Kong Yuanfu Shao Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching Journal of Mathematics |
| title | Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching |
| title_full | Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching |
| title_fullStr | Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching |
| title_full_unstemmed | Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching |
| title_short | Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching |
| title_sort | long time behaviours of a stochastic predator prey system with holling type ii functional response and regime switching |
| url | http://dx.doi.org/10.1155/2021/6672030 |
| work_keys_str_mv | AT weilikong longtimebehavioursofastochasticpredatorpreysystemwithhollingtypeiifunctionalresponseandregimeswitching AT yuanfushao longtimebehavioursofastochasticpredatorpreysystemwithhollingtypeiifunctionalresponseandregimeswitching |