Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment
In this paper, a stochastic competitive model with distributed time delays and Lévy jumps is formulated. With or without a polluted environment, the model is denoted by (M) or (M0), respectively. The existence of positive solution, persistence in mean, and extinction of species for (M) and (M0) are...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/6698770 |
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| _version_ | 1832550889064235008 |
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| author | Taolin Zhang Yuanfu Shao Xiaowan She |
| author_facet | Taolin Zhang Yuanfu Shao Xiaowan She |
| author_sort | Taolin Zhang |
| collection | DOAJ |
| description | In this paper, a stochastic competitive model with distributed time delays and Lévy jumps is formulated. With or without a polluted environment, the model is denoted by (M) or (M0), respectively. The existence of positive solution, persistence in mean, and extinction of species for (M) and (M0) are both studied. The sufficient criteria of stability in distribution for model (M) is obtained. Finally, some numerical simulations are given to illustrate our theoretical results. |
| format | Article |
| id | doaj-art-2410b0320beb4589881daf5a6cb89b20 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2410b0320beb4589881daf5a6cb89b202025-02-03T06:05:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/66987706698770Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted EnvironmentTaolin Zhang0Yuanfu Shao1Xiaowan She2College of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaCollege of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaCollege of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaIn this paper, a stochastic competitive model with distributed time delays and Lévy jumps is formulated. With or without a polluted environment, the model is denoted by (M) or (M0), respectively. The existence of positive solution, persistence in mean, and extinction of species for (M) and (M0) are both studied. The sufficient criteria of stability in distribution for model (M) is obtained. Finally, some numerical simulations are given to illustrate our theoretical results.http://dx.doi.org/10.1155/2021/6698770 |
| spellingShingle | Taolin Zhang Yuanfu Shao Xiaowan She Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment Discrete Dynamics in Nature and Society |
| title | Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment |
| title_full | Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment |
| title_fullStr | Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment |
| title_full_unstemmed | Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment |
| title_short | Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment |
| title_sort | analysis of a stochastic competitive model with distributed time delays and jumps in a polluted environment |
| url | http://dx.doi.org/10.1155/2021/6698770 |
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