title: The dynamics of temperature and light on the growth of phytoplankton.
abstract: Motivated by some lab and field observations of the hump shaped effects of water temperature and light on the growth of phytoplankton, a bottom-up nutrient phytoplankton model, which incorporates the combined effects of temperature and light, is proposed and analyzed to explore the dynamics of phytoplankton bloom. The population growth model reasonably captures such observed dynamics qualitatively. An ecological reproductive index is defined to characterize the growth of the phytoplankton which also allows a comprehensive analysis of the role of temperature and light on the growth and reproductive characteristics of phytoplankton in general. The model provides a framework to study the mechanisms of phytoplankton dynamics in shallow lake and may even be employed to study the controlled phytoplankton bloom.
authors: School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, PR China.
authors: Ming
authors: M
authors: Chen
authors: School of Mathematics and Statistics, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, PR China. Electronic address: mfan@nenu.edu.cn.
authors: Meng
authors: M
authors: Fan
authors: Institute of Ecological Environment, Yangze Delta Region Institute of Tsinghua University, Zhonghuannan Road Huadong Oil Tower, Zhejiang 314000, PR China.
authors: Rui
authors: R
authors: Liu
authors: School of Urban and Environmental Sciences, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, PR China.
authors: Xiaoyu
authors: X
authors: Wang
authors: School of Urban and Environmental Sciences, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, PR China.
authors: Xing
authors: X
authors: Yuan
authors: Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON M3J 1P3, Canada.
authors: Huaiping
authors: H
authors: Zhu
mesh_terms: D000818:Animals; D017753:Ecosystem; D005068:Eutrophication; D008027:Light; D008954:Models, Biological; D010839:Phytoplankton / Q000254:growth & development* / Q000528:radiation effects; D011157:Population Dynamics; D013696:Temperature; D014867:Water
chemical_list: D014867:Water
keywords: Ecological reproductive index; Environmental factors; Phytoplankton bloom; Stability; Threshold conditions