Dynamical Analysis of a Nitrogen-Phosphorus-Phytoplankton Model
This paper presents a nitrogen-phosphorus-phytoplankton model in a water ecosystem. The main aim of this research is to analyze the global system dynamics and to study the existence and stability of equilibria. It is shown that the phytoplankton-eradication equilibrium is globally asymptotically sta...
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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/10.1155/2015/823026 |
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| _version_ | 1850233719258873856 |
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| author | Yunli Deng Min Zhao Hengguo Yu Yi Wang |
| author_facet | Yunli Deng Min Zhao Hengguo Yu Yi Wang |
| author_sort | Yunli Deng |
| collection | DOAJ |
| description | This paper presents a nitrogen-phosphorus-phytoplankton model in a water ecosystem. The main aim of this research is to analyze the global system dynamics and to study the existence and stability of equilibria. It is shown that the phytoplankton-eradication equilibrium is globally asymptotically stable if the input nitrogen concentration is less than a certain threshold. However, the coexistence equilibrium is globally asymptotically stable as long as it exists. The system is uniformly persistent within threshold values of certain key parameters. Finally, to verify the results, numerical simulations are provided. |
| format | Article |
| id | doaj-art-07395f1d17a74b849dac65ca57581e39 |
| institution | OA Journals |
| 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-07395f1d17a74b849dac65ca57581e392025-08-20T02:02:51ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/823026823026Dynamical Analysis of a Nitrogen-Phosphorus-Phytoplankton ModelYunli Deng0Min Zhao1Hengguo Yu2Yi Wang3School of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaZhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaSchool of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaSchool of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaThis paper presents a nitrogen-phosphorus-phytoplankton model in a water ecosystem. The main aim of this research is to analyze the global system dynamics and to study the existence and stability of equilibria. It is shown that the phytoplankton-eradication equilibrium is globally asymptotically stable if the input nitrogen concentration is less than a certain threshold. However, the coexistence equilibrium is globally asymptotically stable as long as it exists. The system is uniformly persistent within threshold values of certain key parameters. Finally, to verify the results, numerical simulations are provided.http://dx.doi.org/10.1155/2015/823026 |
| spellingShingle | Yunli Deng Min Zhao Hengguo Yu Yi Wang Dynamical Analysis of a Nitrogen-Phosphorus-Phytoplankton Model Discrete Dynamics in Nature and Society |
| title | Dynamical Analysis of a Nitrogen-Phosphorus-Phytoplankton Model |
| title_full | Dynamical Analysis of a Nitrogen-Phosphorus-Phytoplankton Model |
| title_fullStr | Dynamical Analysis of a Nitrogen-Phosphorus-Phytoplankton Model |
| title_full_unstemmed | Dynamical Analysis of a Nitrogen-Phosphorus-Phytoplankton Model |
| title_short | Dynamical Analysis of a Nitrogen-Phosphorus-Phytoplankton Model |
| title_sort | dynamical analysis of a nitrogen phosphorus phytoplankton model |
| url | http://dx.doi.org/10.1155/2015/823026 |
| work_keys_str_mv | AT yunlideng dynamicalanalysisofanitrogenphosphorusphytoplanktonmodel AT minzhao dynamicalanalysisofanitrogenphosphorusphytoplanktonmodel AT hengguoyu dynamicalanalysisofanitrogenphosphorusphytoplanktonmodel AT yiwang dynamicalanalysisofanitrogenphosphorusphytoplanktonmodel |