Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System
Eutrophication removal problems have captured the attention of biologists, mathematicians, and environmental scientists. Within this framework, an impulsive eutrophication controlling system is studied analytically and numerically. A key advantage of the eutrophication system is that it can be quite...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/726172 |
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| author | Hengguo Yu Min Zhao Qi Wang |
| author_facet | Hengguo Yu Min Zhao Qi Wang |
| author_sort | Hengguo Yu |
| collection | DOAJ |
| description | Eutrophication removal problems have captured the attention of biologists, mathematicians, and environmental scientists. Within this framework, an impulsive eutrophication controlling system is studied analytically and numerically. A key advantage of the eutrophication system is that it can be
quite accurate to describe the interaction effect of some critical factors (fishermen catch and releasing small fry, etc.), which enables a systematic and logical procedure for fitting eutrophication mathematical system to real monitoring data and experiment data. Mathematical theoretical works have been pursuing the investigation of two threshold functions of some critical parameters under the condition of all species persistence, which can in turn provide a theoretical basis for the numerical simulation.
Using numerical simulation works, we mainly focus on how to choose the best value of some critical parameters to ensure the sustainability of the eutrophication system so that the eutrophication removal process can be well developed with maximizing economic benefit. These results may be further extended to provide a basis for simulating the algal bloom in the laboratory and understanding the application of some impulsive controlling models about eutrophication removal problems. |
| format | Article |
| id | doaj-art-2ce4a2adaead413ab781d762363d21a7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2ce4a2adaead413ab781d762363d21a72025-02-03T01:03:14ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/726172726172Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling SystemHengguo Yu0Min Zhao1Qi Wang2School 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, ChinaEutrophication removal problems have captured the attention of biologists, mathematicians, and environmental scientists. Within this framework, an impulsive eutrophication controlling system is studied analytically and numerically. A key advantage of the eutrophication system is that it can be quite accurate to describe the interaction effect of some critical factors (fishermen catch and releasing small fry, etc.), which enables a systematic and logical procedure for fitting eutrophication mathematical system to real monitoring data and experiment data. Mathematical theoretical works have been pursuing the investigation of two threshold functions of some critical parameters under the condition of all species persistence, which can in turn provide a theoretical basis for the numerical simulation. Using numerical simulation works, we mainly focus on how to choose the best value of some critical parameters to ensure the sustainability of the eutrophication system so that the eutrophication removal process can be well developed with maximizing economic benefit. These results may be further extended to provide a basis for simulating the algal bloom in the laboratory and understanding the application of some impulsive controlling models about eutrophication removal problems.http://dx.doi.org/10.1155/2013/726172 |
| spellingShingle | Hengguo Yu Min Zhao Qi Wang Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System Abstract and Applied Analysis |
| title | Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System |
| title_full | Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System |
| title_fullStr | Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System |
| title_full_unstemmed | Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System |
| title_short | Analysis of Mathematics and Sustainability in an Impulsive Eutrophication Controlling System |
| title_sort | analysis of mathematics and sustainability in an impulsive eutrophication controlling system |
| url | http://dx.doi.org/10.1155/2013/726172 |
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