Abstract
We study the competition of two phytoplankton species for a singleresource-light with wavelength in a well mixed water column. Themodel was proposed by Stomp et al. in 2007, in this model eachspecies prefers different interval of light spectrum. Theirexperimental results show that colorful phytoplankton speciescoexist.  We classify the global behavior of the model by stability ofequilibrium and the theory of monotone dynamical systems. Theconclusion is that one of the following holds: one speciescompetitively excludes the other, two species coexist, bistabilityof two species. We also analyze the special case when species havelinear growth function, and the outcome is either competitiveexclusion or two species coexistence; the results are consistentwith the Stomp's experiments in 2004.
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