Simple-zero singularity in toxic phytoplankton-zooplankton model

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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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  -