Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae
A reaction-diffusion-advection model is proposed for the Zeya Reservoir to study interactions between algae and zooplankton, including the diffusive spread of algae and zooplankton and the sinking of algae. The model is investigated both with and without sinking. Conditions of Hopf and Turing bifurc...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/278457 |
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| author | Chuanjun Dai Min Zhao |
| author_facet | Chuanjun Dai Min Zhao |
| author_sort | Chuanjun Dai |
| collection | DOAJ |
| description | A reaction-diffusion-advection model is proposed for the Zeya Reservoir to study interactions between algae and zooplankton, including the diffusive spread of algae and zooplankton and the sinking of algae. The model is investigated both with and without sinking. Conditions of Hopf and Turing bifurcation in the spatial domain are obtained, and conditions for differential-flow instability that gives rise to the formation of spatial patterns are derived. Using numerical simulation, the authors examine the impacts on algae of different nutrient concentrations, different sinking rates, and various diffusive spreading patterns. Finally, the models with and without sinking are compared, revealing that the sinking of algae plays an important role in the oscillations of algae and zooplankton. All these results may help to achieve a better understanding of the impact of algae in the Zeya Reservoir. |
| format | Article |
| id | doaj-art-91c293fb798f44b7b3e0d5fa52aaf514 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-91c293fb798f44b7b3e0d5fa52aaf5142025-02-03T01:03:25ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/278457278457Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of AlgaeChuanjun Dai0Min Zhao1Key Laboratory of Saline-Alkali Vegetation Ecology Restoration in Oil Field, Ministry of Education, Alkali Soil Natural Environmental Science Center, Northeast Forestry University, Harbin 150040, ChinaZhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, ChinaA reaction-diffusion-advection model is proposed for the Zeya Reservoir to study interactions between algae and zooplankton, including the diffusive spread of algae and zooplankton and the sinking of algae. The model is investigated both with and without sinking. Conditions of Hopf and Turing bifurcation in the spatial domain are obtained, and conditions for differential-flow instability that gives rise to the formation of spatial patterns are derived. Using numerical simulation, the authors examine the impacts on algae of different nutrient concentrations, different sinking rates, and various diffusive spreading patterns. Finally, the models with and without sinking are compared, revealing that the sinking of algae plays an important role in the oscillations of algae and zooplankton. All these results may help to achieve a better understanding of the impact of algae in the Zeya Reservoir.http://dx.doi.org/10.1155/2014/278457 |
| spellingShingle | Chuanjun Dai Min Zhao Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae Abstract and Applied Analysis |
| title | Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae |
| title_full | Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae |
| title_fullStr | Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae |
| title_full_unstemmed | Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae |
| title_short | Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae |
| title_sort | nonlinear analysis in a nutrient algae zooplankton system with sinking of algae |
| url | http://dx.doi.org/10.1155/2014/278457 |
| work_keys_str_mv | AT chuanjundai nonlinearanalysisinanutrientalgaezooplanktonsystemwithsinkingofalgae AT minzhao nonlinearanalysisinanutrientalgaezooplanktonsystemwithsinkingofalgae |