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.
Citation: Alain Rapaport, Jérôme Harmand. Biological control of the chemostat with nonmonotonic response and different removal rates[J]. Mathematical Biosciences and Engineering, 2008, 5(3): 539-547. doi: 10.3934/mbe.2008.5.539
Abstract
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.