Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise
Little seems to be known about the ergodicity of random dynamical systems with multiplicative nonlinear noise. This paper is devoted to discern asymptotic behavior dynamics through the stochastic coral reefs model with multiplicative nonlinear noise. By support theorem and Hörmander theorem, the Mar...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/7848793 |
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| _version_ | 1832548901700239360 |
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| author | Zaitang Huang |
| author_facet | Zaitang Huang |
| author_sort | Zaitang Huang |
| collection | DOAJ |
| description | Little seems to be known about the ergodicity of random dynamical systems with multiplicative nonlinear noise. This paper is devoted to discern asymptotic behavior dynamics through the stochastic coral reefs model with multiplicative nonlinear noise. By support theorem and Hörmander theorem, the Markov semigroup corresponding to the solutions is to prove the Foguel alternative. Based on boundary distributions theory, the required conservative operators related to the solutions are further established to ensure the existence a stationary distribution. Meanwhile, the density of the distribution of the solutions either converges to a stationary density or weakly converges to some probability measure. |
| format | Article |
| id | doaj-art-8cbc939d840b469e826a29306ceed903 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8cbc939d840b469e826a29306ceed9032025-02-03T06:12:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/78487937848793Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear NoiseZaitang Huang0Yangtze Center of Mathematics and Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaLittle seems to be known about the ergodicity of random dynamical systems with multiplicative nonlinear noise. This paper is devoted to discern asymptotic behavior dynamics through the stochastic coral reefs model with multiplicative nonlinear noise. By support theorem and Hörmander theorem, the Markov semigroup corresponding to the solutions is to prove the Foguel alternative. Based on boundary distributions theory, the required conservative operators related to the solutions are further established to ensure the existence a stationary distribution. Meanwhile, the density of the distribution of the solutions either converges to a stationary density or weakly converges to some probability measure.http://dx.doi.org/10.1155/2016/7848793 |
| spellingShingle | Zaitang Huang Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise Discrete Dynamics in Nature and Society |
| title | Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise |
| title_full | Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise |
| title_fullStr | Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise |
| title_full_unstemmed | Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise |
| title_short | Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise |
| title_sort | dynamics of stochastic coral reefs model with multiplicative nonlinear noise |
| url | http://dx.doi.org/10.1155/2016/7848793 |
| work_keys_str_mv | AT zaitanghuang dynamicsofstochasticcoralreefsmodelwithmultiplicativenonlinearnoise |