A new proof of the competitive exclusion principle in the chemostat

2017/11/18 by Rapaport, Alain, Veruete, Mario
#34K20 #92D25 #Classical Analysis and ODEs (math.CA) #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.1711.06928

Abstract

We give an new proof of the well-known competitive exclusion principle in the chemostat model with n species competing for a single resource, for any set of increasing growth functions. The proof is constructed by induction on the number of the species, after being ordered. It uses elementary analysis and comparisons of solutions of ordinary differential equations.

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