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
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.