Nonlinear Dynamics of a Nutrient-Plankton Model
Joint Authors
Wang, Yapei
Dai, Chuanjun
Pan, Xinhong
Zhao, Min
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We investigated a nonlinear model of the interaction between nutrients and plankton, which was addressed using a pair of reaction-advection-diffusion equations.
Based on numerical analysis, we studied a model without diffusion and sinking terms, and we found that the phytoplankton density (a stable state) increased with the increase of nutrient density.
We analyzed the model using a linear analysis technique and found that the sinking of phytoplankton could affect the system.
If the sinking velocity exceeded a certain critical value, the stable state became unstable and the wavelength of phytoplankton increased with the increase of sinking velocity.
Furthermore, band patterns were also produced by our model, which was affected by the diffusion and sinking of phytoplankton.
Thus, the change in the diffusion and sinking of phytoplankton led to different spatial distributions of phytoplankton.
All of these results are expected to be useful in the study of plankton dynamics in aquatic ecosystems.
American Psychological Association (APA)
Wang, Yapei& Zhao, Min& Dai, Chuanjun& Pan, Xinhong. 2014. Nonlinear Dynamics of a Nutrient-Plankton Model. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033765
Modern Language Association (MLA)
Wang, Yapei…[et al.]. Nonlinear Dynamics of a Nutrient-Plankton Model. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033765
American Medical Association (AMA)
Wang, Yapei& Zhao, Min& Dai, Chuanjun& Pan, Xinhong. Nonlinear Dynamics of a Nutrient-Plankton Model. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033765
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033765