# American Institute of Mathematical Sciences

September  2011, 10(5): 1479-1501. doi: 10.3934/cpaa.2011.10.1479

## On a mathematical model arising from competition of Phytoplankton species for a single nutrient with internal storage: steady state analysis

 1 Department of Mathematics, National Tsing Hua University, Hsinchu 300 2 Department of Mathematics, National Tsing-Hua University, Hsinchu 300, Taiwan

Received  August 2009 Revised  June 2010 Published  April 2011

In this paper we construct a mathematical model of two microbial populations competing for a single-limited nutrient with internal storage in an unstirred chemostat. First we establish the existence and uniqueness of steady-state solutions for the single population. The conditions for the coexistence of steady states are determined. Techniques include the maximum principle, theory of bifurcation and degree theory in cones.
Citation: Sze-Bi Hsu, Feng-Bin Wang. On a mathematical model arising from competition of Phytoplankton species for a single nutrient with internal storage: steady state analysis. Communications on Pure & Applied Analysis, 2011, 10 (5) : 1479-1501. doi: 10.3934/cpaa.2011.10.1479
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