Proceedings of the 2015 International Conference on Material Science and Applications

Research on the Dynamics of Red Tide Algae Density Evolution Mechanism and Control

Authors
Dong-Wei Huang, Shen-Xin Yu, Yu-Xia Fu
Corresponding Author
Dong-Wei Huang
Available Online June 2014.
DOI
https://doi.org/10.2991/icmsa-15.2015.147How to use a DOI?
Keywords
Red Tide, Chaetoceros, Routh-Hurwitz Criterion, Lyapunov-Exponents Spectrum.
Abstract
In this paper we investigate the interrelation between the concentration of nutrients and the density of Chaetoceros and algae I (algae with appropriate external replenishment), we establish mathematic model to describe the dynamic evolution behaviors between the three; The stability state of material evolutionary process in the model is analyzed and judged by Routh-Hurwitz criterion; And we select the increase rate of the concentration of nutrients as the key parameter. We could get the conditions when Hopf bifurcation occurs in the system. At the end, through numerical simulation, we calculate Lyapunov Exponent spectrum and parameter threshold when Hopf bifurcation occurs in the system. The result indicates that the concentration of nutrients play a vital role in the change of system state. And then this helps to identify the evolutionary mechanism of the system to produce the bifurcation and chaos phenomena. Finally we get the method to restrain the blooms of red tide through controlling the key parameter.
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Proceedings
2015 International Conference on Material Science and Applications (icmsa-15)
Part of series
Advances in Physics Research
Publication Date
June 2014
ISBN
978-94-62520-75-2
ISSN
2352-541X
DOI
https://doi.org/10.2991/icmsa-15.2015.147How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Dong-Wei Huang
AU  - Shen-Xin Yu
AU  - Yu-Xia Fu
PY  - 2014/06
DA  - 2014/06
TI  - Research on the Dynamics of Red Tide Algae Density Evolution Mechanism and Control
BT  - 2015 International Conference on Material Science and Applications (icmsa-15)
PB  - Atlantis Press
SP  - 804
EP  - 809
SN  - 2352-541X
UR  - https://doi.org/10.2991/icmsa-15.2015.147
DO  - https://doi.org/10.2991/icmsa-15.2015.147
ID  - Huang2014/06
ER  -