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 ofdifferent removal rates for each species. This result is obtained by an extensionof the Competitive Exclusion Principle in the chemostat, fo...

Full description

Saved in:
Bibliographic Details
Main Authors: Alain Rapaport, Jérôme Harmand
Format: Article
Language:English
Published: AIMS Press 2008-05-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.539
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We show the global stabilization of the chemostat with nonmonotonic growth, adding a new species as a ''biological'' control, in presence ofdifferent removal rates for each species. This result is obtained by an extensionof the Competitive Exclusion Principle in the chemostat, for the case of twospecies with different removal rates and at least one nonmonotonic response.
ISSN:1551-0018