Biological control of the chemostat with nonmonotonic response and different removal rates | Zendy

Alain Rapaport | Zendy; Jérôme Harmand | Zendy

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Biological control of the chemostat with nonmonotonic response and different removal rates

Author(s) -

Alain Rapaport,

Jérôme Harmand

Publication year - 2008

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2008.5.539

Subject(s) - chemostat , competitive exclusion , control theory (sociology) , biological system , ecology , control (management) , mathematics , biology , biochemical engineering , computer science , competition (biology) , engineering , bacteria , artificial intelligence , genetics

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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