A stoichiometrically derived algal growth model and its global analysis

Xiong Li; Hao Wang; Xiong Li; Hao Wang

doi:10.3934/mbe.2010.7.825

Mathematical Biosciences and Engineering

2010, Volume 7, Issue 4: 825-836. doi: 10.3934/mbe.2010.7.825

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A stoichiometrically derived algal growth model and its global analysis

Xiong Li ,
Hao Wang

1.
Department of Mathematical Sciences, Beijing Normal University, Beijing 100875
2.
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1

Received: 01 August 2010 Accepted: 29 June 2018 Published: 01 October 2010
MSC : Primary: 92B05, 34D23; Secondary: 34C60.

Organisms are composed of multiple chemical elements such as carbon, nitrogen, and phosphorus. The scarcity of any of these elements can severely restrict organismal and population growth. However, many trophic interaction models only consider carbon limitation via energy flow. In this paper, we construct an algal growth model with the explicit incorporation of light and nutrient availability to characterize both carbon and phosphorus limitations. We provide a global analysis of this model to illustrate how light and nutrient availability regulate algal dynamics.

Keywords:

Citation: Xiong Li, Hao Wang. A stoichiometrically derived algal growth model and its global analysis[J]. Mathematical Biosciences and Engineering, 2010, 7(4): 825-836. doi: 10.3934/mbe.2010.7.825

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Abstract

Organisms are composed of multiple chemical elements such as carbon, nitrogen, and phosphorus. The scarcity of any of these elements can severely restrict organismal and population growth. However, many trophic interaction models only consider carbon limitation via energy flow. In this paper, we construct an algal growth model with the explicit incorporation of light and nutrient availability to characterize both carbon and phosphorus limitations. We provide a global analysis of this model to illustrate how light and nutrient availability regulate algal dynamics.

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