Spatiotemporal Complexity of the Nutrient-Phytoplankton Model
Joint Authors
Dai, Chuanjun
Mei, Debing
Yu, Hengguo
Zhao, Min
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the mathematical formulation, analysis, and numerical solution of a nonlinear system of nutrient-phytoplankton, which consists of a series of reaction-advection-diffusion equations.
We derive the critical conditions for Turing instability without an advection term and define the range of Turing instability with the change of nutrient concentration.
We show that horizontal movement of phytoplankton could influence the system and that it is unstable when the horizontal velocity exceeds a critical value.
We also compare reaction-diffusion equations with reaction-advection-diffusion equations through simulations, with spotted, banded, and crenulate patterns produced from our model.
We found that different spatial constructions could occur, impacted by the diffusion and sinking of nutrients and phytoplankton.
The new model may help us better understand the dynamics of an aquatic community.
American Psychological Association (APA)
Mei, Debing& Zhao, Min& Yu, Hengguo& Dai, Chuanjun. 2015. Spatiotemporal Complexity of the Nutrient-Phytoplankton Model. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074804
Modern Language Association (MLA)
Mei, Debing…[et al.]. Spatiotemporal Complexity of the Nutrient-Phytoplankton Model. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1074804
American Medical Association (AMA)
Mei, Debing& Zhao, Min& Yu, Hengguo& Dai, Chuanjun. Spatiotemporal Complexity of the Nutrient-Phytoplankton Model. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074804
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074804