Proceedings of the 2018 2nd International Conference on Advances in Energy, Environment and Chemical Science (AEECS 2018)

Simple-zero singularity in toxic phytoplankton-zooplankton model

Authors
Yong Wang
Corresponding Author
Yong Wang
Available Online March 2018.
DOI
10.2991/aeecs-18.2018.36How to use a DOI?
Keywords
phytoplankton-zooplankton model, simple-zero singularity, bifurcation.
Abstract

In this paper, we have considered a phytoplankton-zooplankton system with toxic liberation delay. Firstly, we give the critical values of transcritical bifurcation. Then, we derive the normal forms and their unfolding with original parameters in the system near the bifurcation point by the normal form method and center manifold theory. Finally, we show that the plankton system undergoes a transcritial bifurcation, and the equilibrium is unstable.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2018 2nd International Conference on Advances in Energy, Environment and Chemical Science (AEECS 2018)
Series
Advances in Engineering Research
Publication Date
March 2018
ISBN
978-94-6252-479-8
ISSN
2352-5401
DOI
10.2991/aeecs-18.2018.36How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Yong Wang
PY  - 2018/03
DA  - 2018/03
TI  - Simple-zero singularity in toxic phytoplankton-zooplankton model
BT  - Proceedings of the 2018 2nd International Conference on Advances in Energy, Environment and Chemical Science (AEECS 2018)
PB  - Atlantis Press
SP  - 207
EP  - 210
SN  - 2352-5401
UR  - https://doi.org/10.2991/aeecs-18.2018.36
DO  - 10.2991/aeecs-18.2018.36
ID  - Wang2018/03
ER  -