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Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor
Journal article   Peer reviewed

Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor

S.B. Hsu, Ting-Kung Luo and Paul Waltman
Journal of Mathematical Biology, Vol.34(2), pp.225-238
1995

Abstract

A model of competition in the chemostat with an inhibitor is combined with a model of competition in the chemostat between plasmid-bearing and plasmid-free organism to produce a model that more closely approximates the way chemostat-like devices are used in biotechnology. The asymptotic behavior of the solutions of the resulting system of nonlinear differential equations is analyzed as a function of the relevant parameters. The techniques are those of dynamical systems although perturbation techniques are used when the parameter reflecting plasmid-loss is small. © 1995, Springer-Verlag. All rights reserved.

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