Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays
In this paper, well-posedness and asymptotic behaviors of a stochastic two-predator one-prey system with S-type distributed time delays are studied by using stochastic analytical techniques. First, the existence and uniqueness of global positive solution with positive initial condition is proved. Se...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-12-01
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| Series: | Mathematical Modelling and Control |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2022026?viewType=HTML |
| _version_ | 1797956316106326016 |
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| author | Zeyan Yue Lijuan Dong Sheng Wang |
| author_facet | Zeyan Yue Lijuan Dong Sheng Wang |
| author_sort | Zeyan Yue |
| collection | DOAJ |
| description | In this paper, well-posedness and asymptotic behaviors of a stochastic two-predator one-prey system with S-type distributed time delays are studied by using stochastic analytical techniques. First, the existence and uniqueness of global positive solution with positive initial condition is proved. Second, sufficient conditions for persistence in mean and extinction of each species are obtained. Then, sufficient conditions for global attractivity are established. Finally, some numerical simulations are provided to support the analytical results. |
| first_indexed | 2024-04-10T23:47:03Z |
| format | Article |
| id | doaj.art-7b579feb86aa4ec4bcf5e1f714327c40 |
| institution | Directory Open Access Journal |
| issn | 2767-8946 |
| language | English |
| last_indexed | 2024-04-10T23:47:03Z |
| publishDate | 2022-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj.art-7b579feb86aa4ec4bcf5e1f714327c402023-01-11T02:29:14ZengAIMS PressMathematical Modelling and Control2767-89462022-12-012427228110.3934/mmc.2022026Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delaysZeyan Yue0Lijuan Dong1Sheng Wang2School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454003, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454003, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454003, ChinaIn this paper, well-posedness and asymptotic behaviors of a stochastic two-predator one-prey system with S-type distributed time delays are studied by using stochastic analytical techniques. First, the existence and uniqueness of global positive solution with positive initial condition is proved. Second, sufficient conditions for persistence in mean and extinction of each species are obtained. Then, sufficient conditions for global attractivity are established. Finally, some numerical simulations are provided to support the analytical results.https://www.aimspress.com/article/doi/10.3934/mmc.2022026?viewType=HTMLpersistence in meanextinctionpredator-prey systemtime delayglobal attractivity |
| spellingShingle | Zeyan Yue Lijuan Dong Sheng Wang Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays Mathematical Modelling and Control persistence in mean extinction predator-prey system time delay global attractivity |
| title | Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays |
| title_full | Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays |
| title_fullStr | Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays |
| title_full_unstemmed | Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays |
| title_short | Stochastic persistence and global attractivity of a two-predator one-prey system with S-type distributed time delays |
| title_sort | stochastic persistence and global attractivity of a two predator one prey system with s type distributed time delays |
| topic | persistence in mean extinction predator-prey system time delay global attractivity |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2022026?viewType=HTML |
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