A stoichiometrically derived algal growth model and its global analysis

  • 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.

    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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  • 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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  • © 2010 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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