Effect of seasonal changing temperature on the growth of phytoplankton

CHEN Ming; FAN Meng; YUAN Xing; ZHU Huai-Ping

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Effect of seasonal changing temperature on the growth of phytoplankton

CHEN Ming 1 #,FAN Meng 2 *,YUAN Xing 3,ZHU Huai-Ping 4

1.School of Mathematics and Statistics, Northeast Normal University, Changchun 130024;Department of Mathematics, Dalian Maritime University, Dalian, Liaoning 116026

2.School of Mathematics and Statistics, Northeast Normal University, Changchun 130024

3.School of Urban and Environmental Sciences, Northeast Normal University, Changchun 130024

4.Lamps and Department of Mathematics and Statistics, York University, Toronto, Canada M3J 1P3

*Correspondence author

#Submitted by

Subject:

Funding: NSFC（No.11671072, 11271065）, RFDP（No.20130043110001）, FRFCU（No.14ZZ1309）

Opened online:12 May 2017

Accepted by: none

Citation: CHEN Ming,FAN Meng,YUAN Xing.Effect of seasonal changing temperature on the growth of phytoplankton[OL]. [12 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4729441

A non-autonomous nutrient-phytoplankton interacting model incorporating the effect of time-varying temperature is established. The impacts of temperature on metabolism of phytoplankton such as nutrient uptake, death rate, and nutrient releasing from particulate nutrient are investigated. The ecological reproductive index is formulated to present a threshold criteria and to characterize the dynamics of phytoplankton.The effect of seasonal temperature and daily temperature on phytoplankton biomass are simulated numerically. Numerical simulation shows that the phytoplankton biomass is very robust to the variation of water temperature. The performance and the adaptability of the model is well assessed by carrying out an application scenario to our field study in Lake Tai in China. The dynamics of the model and model predictions agree well with the experimental data. Our model provides a reasonable explanation of triggering mechanism of phytoplankton bloom.

Keywords:applied mathematics; periodic system; changing temperature; phytoplankton; ecological reproductive index

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