Discrete and Continuous Dynamical Systems - Series S (DCDS-S)

Dynamics of two phytoplankton species competing for light and nutrient with internal storage

Pages: 1259 - 1285, Volume 7, Issue 6, December 2014      doi:10.3934/dcdss.2014.7.1259

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Sze-Bi Hsu - Department of Mathematics, National Tsing Hua University, National Center of Theoretical Science, Hsinchu 300, Taiwan (email)
Chiu-Ju Lin - Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan (email)

Abstract: We analyze a competition model of two phytoplankton species for a single nutrient with internal storage and light in a well mixed aquatic environment. We apply the theory of monotone dynamical system to determine the outcomes of competition: extinction of two species, competitive exclusion, stable coexistence and bistability of two species. We also present the graphical presentation to classify the competition outcomes and to compare outcome of models with and without internal storage.

Keywords:  Two species competition, Droop model, well-mixed water column, competitive exclusion, bistability, stable coexistence, Tilman's graph presentation.
Mathematics Subject Classification:  Primary: 58F15, 58F17; Secondary: 53C35.

Received: March 2013;      Revised: November 2013;      Available Online: June 2014.