Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System
We propose an algae-fish semicontinuous system for the Zeya Reservoir to study the control of algae, including biological and chemical controls. The bifurcation and periodic solutions of the system were studied using a Poincaré map and a geometric method. The existence of order-1 periodic solution o...
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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/10.1155/2013/619721 |
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| _version_ | 1849309142076882944 |
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| author | Chuanjun Dai Min Zhao Lansun Chen |
| author_facet | Chuanjun Dai Min Zhao Lansun Chen |
| author_sort | Chuanjun Dai |
| collection | DOAJ |
| description | We propose an algae-fish semicontinuous system for the Zeya Reservoir to study the control of algae, including biological and chemical controls. The bifurcation and periodic solutions of the system were studied using a Poincaré map and a geometric method. The existence of order-1 periodic solution of the system is discussed. Based on previous analysis, we investigated the change in the location of the order-1 periodic solution with variable parameters and we described the transcritical bifurcation of the system. Finally, we provided a series of numerical results to illustrate the feasibility of the theoretical results. These results may help to facilitate a better understanding of algal control in the Zeya Reservoir. |
| format | Article |
| id | doaj-art-0d2e3c9a47214a36b069fbb72f6aa5dd |
| 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-0d2e3c9a47214a36b069fbb72f6aa5dd2025-08-20T03:54:15ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/619721619721Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous SystemChuanjun Dai0Min Zhao1Lansun Chen2School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325027, ChinaSchool of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325027, ChinaSchool of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325027, ChinaWe propose an algae-fish semicontinuous system for the Zeya Reservoir to study the control of algae, including biological and chemical controls. The bifurcation and periodic solutions of the system were studied using a Poincaré map and a geometric method. The existence of order-1 periodic solution of the system is discussed. Based on previous analysis, we investigated the change in the location of the order-1 periodic solution with variable parameters and we described the transcritical bifurcation of the system. Finally, we provided a series of numerical results to illustrate the feasibility of the theoretical results. These results may help to facilitate a better understanding of algal control in the Zeya Reservoir.http://dx.doi.org/10.1155/2013/619721 |
| spellingShingle | Chuanjun Dai Min Zhao Lansun Chen Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System Abstract and Applied Analysis |
| title | Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System |
| title_full | Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System |
| title_fullStr | Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System |
| title_full_unstemmed | Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System |
| title_short | Bifurcations and Periodic Solutions for an Algae-Fish Semicontinuous System |
| title_sort | bifurcations and periodic solutions for an algae fish semicontinuous system |
| url | http://dx.doi.org/10.1155/2013/619721 |
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