A new proof of the competitive exclusion principle in the chemostat
نویسندگان
چکیده
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.
منابع مشابه
Biological control of the chemostat with nonmonotonic response and different removal rates.
We show the global stabilization of the chemostat with nonmonotonic growth, adding a new species as a "biological" control, in presence of different removal rates for each species. This result is obtained by an extension of the Competitive Exclusion Principle in the chemostat, for the case of two species with different removal rates and at least one nonmonotonic response.
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