Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland Ecosystem
A wetland ecosystem is studied theoretically and numerically to reveal the rules of dynamics which can be quite accurate to better describe the observed spatial regularity of tussock vegetation. Mathematical theoretical works mainly investigate the stability of constant steady states, the existence...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/185432 |
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| author | Yi Wang Min Zhao Hengguo Yu Chuanjun Dai Debing Mei Qi Wang Zengling Ma |
| author_facet | Yi Wang Min Zhao Hengguo Yu Chuanjun Dai Debing Mei Qi Wang Zengling Ma |
| author_sort | Yi Wang |
| collection | DOAJ |
| description | A wetland ecosystem is studied theoretically and numerically to reveal the rules of dynamics which can be quite accurate to better describe the observed spatial regularity of tussock vegetation. Mathematical theoretical works mainly investigate the stability of constant steady states, the existence of nonconstant steady states, and bifurcation, which can deduce a standard parameter control relation and in return can provide a theoretical basis for the numerical simulation. Numerical analysis indicates that the theoretical works are correct and the wetland ecosystem can show rich dynamical behaviors not only regular spatial patterns. Our results further deepen and expand the study of dynamics in the wetland ecosystem. In addition, it is successful to display tussock formation in the wetland ecosystem may have important consequences for aquatic community structure, especially for species interactions and biodiversity. All these results are expected to be useful in the study of the dynamic complexity of wetland ecosystems. |
| format | Article |
| id | doaj-art-3b5da8478edc4711b2c3fbd6fec2149b |
| institution | Kabale University |
| 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-3b5da8478edc4711b2c3fbd6fec2149b2025-02-03T01:21:25ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/185432185432Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland EcosystemYi Wang0Min Zhao1Hengguo Yu2Chuanjun Dai3Debing Mei4Qi Wang5Zengling Ma6School 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, 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, ChinaZhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaZhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaA wetland ecosystem is studied theoretically and numerically to reveal the rules of dynamics which can be quite accurate to better describe the observed spatial regularity of tussock vegetation. Mathematical theoretical works mainly investigate the stability of constant steady states, the existence of nonconstant steady states, and bifurcation, which can deduce a standard parameter control relation and in return can provide a theoretical basis for the numerical simulation. Numerical analysis indicates that the theoretical works are correct and the wetland ecosystem can show rich dynamical behaviors not only regular spatial patterns. Our results further deepen and expand the study of dynamics in the wetland ecosystem. In addition, it is successful to display tussock formation in the wetland ecosystem may have important consequences for aquatic community structure, especially for species interactions and biodiversity. All these results are expected to be useful in the study of the dynamic complexity of wetland ecosystems.http://dx.doi.org/10.1155/2015/185432 |
| spellingShingle | Yi Wang Min Zhao Hengguo Yu Chuanjun Dai Debing Mei Qi Wang Zengling Ma Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland Ecosystem Discrete Dynamics in Nature and Society |
| title | Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland Ecosystem |
| title_full | Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland Ecosystem |
| title_fullStr | Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland Ecosystem |
| title_full_unstemmed | Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland Ecosystem |
| title_short | Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland Ecosystem |
| title_sort | analysis of spatiotemporal dynamic and bifurcation in a wetland ecosystem |
| url | http://dx.doi.org/10.1155/2015/185432 |
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