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2014 Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae
Chuanjun Dai, Min Zhao
Abstr. Appl. Anal. 2014(SI37): 1-11 (2014). DOI: 10.1155/2014/278457

Abstract

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.

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Chuanjun Dai. Min Zhao. "Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae." Abstr. Appl. Anal. 2014 (SI37) 1 - 11, 2014. https://doi.org/10.1155/2014/278457

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022073
MathSciNet: MR3232831
Digital Object Identifier: 10.1155/2014/278457

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI37 • 2014
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