Dynamical Analysis of a Stochastic Multispecies Turbidostat Model
A stochastic turbidostat system in which the dilution rate is subject to white noise is investigated in this paper. First of all, sufficient conditions of the competitive exclusion among microorganisms are obtained by employing the techniques of stochastic analysis. Furthermore, the results demonstr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/4681205 |
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| _version_ | 1832559523649290240 |
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| author | Yu Mu Zuxiong Li Huili Xiang Hailing Wang |
| author_facet | Yu Mu Zuxiong Li Huili Xiang Hailing Wang |
| author_sort | Yu Mu |
| collection | DOAJ |
| description | A stochastic turbidostat system in which the dilution rate is subject to white noise is investigated in this paper. First of all, sufficient conditions of the competitive exclusion among microorganisms are obtained by employing the techniques of stochastic analysis. Furthermore, the results demonstrate that the competition among microorganisms and stochastic disturbance will affect the dynamical behaviors of microorganisms. Finally, the theoretical results obtained in this contribution are illustrated by numerical simulations. |
| format | Article |
| id | doaj-art-e4a8732dfe8f42f293b3fc816af400e6 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e4a8732dfe8f42f293b3fc816af400e62025-02-03T01:29:57ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/46812054681205Dynamical Analysis of a Stochastic Multispecies Turbidostat ModelYu Mu0Zuxiong Li1Huili Xiang2Hailing Wang3Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaDepartment of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaDepartment of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaDepartment of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaA stochastic turbidostat system in which the dilution rate is subject to white noise is investigated in this paper. First of all, sufficient conditions of the competitive exclusion among microorganisms are obtained by employing the techniques of stochastic analysis. Furthermore, the results demonstrate that the competition among microorganisms and stochastic disturbance will affect the dynamical behaviors of microorganisms. Finally, the theoretical results obtained in this contribution are illustrated by numerical simulations.http://dx.doi.org/10.1155/2019/4681205 |
| spellingShingle | Yu Mu Zuxiong Li Huili Xiang Hailing Wang Dynamical Analysis of a Stochastic Multispecies Turbidostat Model Complexity |
| title | Dynamical Analysis of a Stochastic Multispecies Turbidostat Model |
| title_full | Dynamical Analysis of a Stochastic Multispecies Turbidostat Model |
| title_fullStr | Dynamical Analysis of a Stochastic Multispecies Turbidostat Model |
| title_full_unstemmed | Dynamical Analysis of a Stochastic Multispecies Turbidostat Model |
| title_short | Dynamical Analysis of a Stochastic Multispecies Turbidostat Model |
| title_sort | dynamical analysis of a stochastic multispecies turbidostat model |
| url | http://dx.doi.org/10.1155/2019/4681205 |
| work_keys_str_mv | AT yumu dynamicalanalysisofastochasticmultispeciesturbidostatmodel AT zuxiongli dynamicalanalysisofastochasticmultispeciesturbidostatmodel AT huilixiang dynamicalanalysisofastochasticmultispeciesturbidostatmodel AT hailingwang dynamicalanalysisofastochasticmultispeciesturbidostatmodel |