Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations
Considering the impacts of time delays and different kinds of stochastic perturbations, we propose two three-species delayed cooperative systems with stochastic perturbations in this paper. We establish the sufficient criteria of the asymptotical stability and stability in probability by constructin...
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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/10.1155/2021/5577499 |
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| _version_ | 1832555224986812416 |
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| author | Jinxing Zhao Yuanfu Shao |
| author_facet | Jinxing Zhao Yuanfu Shao |
| author_sort | Jinxing Zhao |
| collection | DOAJ |
| description | Considering the impacts of time delays and different kinds of stochastic perturbations, we propose two three-species delayed cooperative systems with stochastic perturbations in this paper. We establish the sufficient criteria of the asymptotical stability and stability in probability by constructing a neutral stochastic differential equation and some suitable functionals. The impacts of time delays and stochastic perturbations to the system dynamics are revealed by some numerical simulations at the end. |
| format | Article |
| id | doaj-art-64d3cd771fc94e3fa6587417416d4714 |
| 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-64d3cd771fc94e3fa6587417416d47142025-02-03T05:49:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/55774995577499Stability of a Three-Species Cooperative System with Time Delays and Stochastic PerturbationsJinxing Zhao0Yuanfu Shao1School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, Inner Mongolia, ChinaCollege of Science, Guilin University of Technology, Guilin 541004, Guangxi, ChinaConsidering the impacts of time delays and different kinds of stochastic perturbations, we propose two three-species delayed cooperative systems with stochastic perturbations in this paper. We establish the sufficient criteria of the asymptotical stability and stability in probability by constructing a neutral stochastic differential equation and some suitable functionals. The impacts of time delays and stochastic perturbations to the system dynamics are revealed by some numerical simulations at the end.http://dx.doi.org/10.1155/2021/5577499 |
| spellingShingle | Jinxing Zhao Yuanfu Shao Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations Discrete Dynamics in Nature and Society |
| title | Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations |
| title_full | Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations |
| title_fullStr | Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations |
| title_full_unstemmed | Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations |
| title_short | Stability of a Three-Species Cooperative System with Time Delays and Stochastic Perturbations |
| title_sort | stability of a three species cooperative system with time delays and stochastic perturbations |
| url | http://dx.doi.org/10.1155/2021/5577499 |
| work_keys_str_mv | AT jinxingzhao stabilityofathreespeciescooperativesystemwithtimedelaysandstochasticperturbations AT yuanfushao stabilityofathreespeciescooperativesystemwithtimedelaysandstochasticperturbations |