Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise
A competitive system subject to environmental noise is established. By using the theory of stochastic differential equations and Lyapunov function, sufficient conditions for the existence, uniqueness, stochastic boundedness, and global attraction of the positive solution of the above system are esta...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/389638 |
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| _version_ | 1849414841778831360 |
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| author | Huili Xiang Zhuang Fang Zuxiong Li Zhijun Liu |
| author_facet | Huili Xiang Zhuang Fang Zuxiong Li Zhijun Liu |
| author_sort | Huili Xiang |
| collection | DOAJ |
| description | A competitive system subject to environmental noise is established. By using the theory of stochastic differential equations
and Lyapunov function, sufficient conditions for the existence, uniqueness, stochastic boundedness, and global attraction of the positive solution of the above system
are established, respectively. An example together with its corresponding numerical simulations is presented to confirm our analytical results. |
| format | Article |
| id | doaj-art-71da2ad98e374320868d3770ce9be11b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-71da2ad98e374320868d3770ce9be11b2025-08-20T03:33:42ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/389638389638Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental NoiseHuili Xiang0Zhuang Fang1Zuxiong Li2Zhijun Liu3Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaA competitive system subject to environmental noise is established. By using the theory of stochastic differential equations and Lyapunov function, sufficient conditions for the existence, uniqueness, stochastic boundedness, and global attraction of the positive solution of the above system are established, respectively. An example together with its corresponding numerical simulations is presented to confirm our analytical results.http://dx.doi.org/10.1155/2015/389638 |
| spellingShingle | Huili Xiang Zhuang Fang Zuxiong Li Zhijun Liu Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise Discrete Dynamics in Nature and Society |
| title | Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise |
| title_full | Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise |
| title_fullStr | Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise |
| title_full_unstemmed | Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise |
| title_short | Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise |
| title_sort | asymptotic behavior of positive solutions of a competitive system subject to environmental noise |
| url | http://dx.doi.org/10.1155/2015/389638 |
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