A stoichiometrically derived algal growth model and its global analysis

2010/06/29 by Xiong Li, Hao Wang, Li, Xiong +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #math.CA #q-bio.PE

paper · pdf · doi:10.48550/arxiv.1006.5495

This submission has been withdrawn by the authors. 11 pages, 7 figures, 1 table

arxiv created 2010/08/06 · arxiv updated 2010/08/09

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.

Related

• Model of Algal Growth Depending on Nutrients and Inorganic Carbon in a Poorly Mixed Water Column
• Stoichiometric ontogenetic development influences population dynamics: Stage-structured model under nutrient co-limitations
• Colimitation of light and nitrogen on algal growth revealed by an array microhabitat platform
• Phytoplankton in a changing world: cell size and elemental stoichiometry
• Seeing through the gray box: an integrated approach to physiological modeling of phytoplankton stoichiometry