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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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |