Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime Switching
In this paper, a stochastic microbial flocculation model with regime switching is developed and analyzed. By proposing a suitable stochastic Lyapunov function, the existence and ergodicity of a stationary distribution for the system are proved. Then, the extinction of microorganisms is discussed und...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/4920018 |
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| _version_ | 1832566942545739776 |
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| author | Haisu Zhang Yi Song |
| author_facet | Haisu Zhang Yi Song |
| author_sort | Haisu Zhang |
| collection | DOAJ |
| description | In this paper, a stochastic microbial flocculation model with regime switching is developed and analyzed. By proposing a suitable stochastic Lyapunov function, the existence and ergodicity of a stationary distribution for the system are proved. Then, the extinction of microorganisms is discussed under appropriate conditions and sufficient conditions for extinction are obtained. Finally, the results of the theoretical analysis are illustrated by numerical simulation. |
| format | Article |
| id | doaj-art-501ad28d1da647219b040069276466e5 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-501ad28d1da647219b040069276466e52025-02-03T01:02:37ZengWileyComplexity1099-05262021-01-01202110.1155/2021/4920018Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime SwitchingHaisu Zhang0Yi Song1College of Mathematics and Systems ScienceCollege of Mathematics and Systems ScienceIn this paper, a stochastic microbial flocculation model with regime switching is developed and analyzed. By proposing a suitable stochastic Lyapunov function, the existence and ergodicity of a stationary distribution for the system are proved. Then, the extinction of microorganisms is discussed under appropriate conditions and sufficient conditions for extinction are obtained. Finally, the results of the theoretical analysis are illustrated by numerical simulation.http://dx.doi.org/10.1155/2021/4920018 |
| spellingShingle | Haisu Zhang Yi Song Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime Switching Complexity |
| title | Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime Switching |
| title_full | Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime Switching |
| title_fullStr | Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime Switching |
| title_full_unstemmed | Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime Switching |
| title_short | Stationary Distribution and Extinction of a Stochastic Microbial Flocculation Model with Regime Switching |
| title_sort | stationary distribution and extinction of a stochastic microbial flocculation model with regime switching |
| url | http://dx.doi.org/10.1155/2021/4920018 |
| work_keys_str_mv | AT haisuzhang stationarydistributionandextinctionofastochasticmicrobialflocculationmodelwithregimeswitching AT yisong stationarydistributionandextinctionofastochasticmicrobialflocculationmodelwithregimeswitching |