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Reports Year : 2003

Feedback control for nonmonotone competition models in the chemostat

Jean-Luc Gouzé

Abstract

This paper deals with the problem of feedback control of competition between two species with one substrate in the chemostat with nonmonotone growth functions. Without control, the generic behavior is competitive exclusion. The aim of this paper is to find a feedback control of the dilution rate, depending only on the total biomass such that coexistence holds. We obtain a sufficient condition for the global asymptotic stability of an unique equilibrium point in the positive orthant for a three dimensional differential system which arises from this controlled competition model. This paper generalizes the results obtained by De Leenher and Smith in \cite{smith}.
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Dates and versions

inria-00071551 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071551 , version 1

Cite

Gonzalo Robledo, Jean-Luc Gouzé. Feedback control for nonmonotone competition models in the chemostat. RR-5033, INRIA. 2003. ⟨inria-00071551⟩
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