A System of Reaction-Diffusion Equations in the Unstirred Chemostat With an Inhibitor

1 Introduction This paper is concerned with competition of two organisms in an un-stirred chemostat-typesystem in the presence of an inhibitor. The basic assumption is that the inhibitor is from anexternal source and is lethal to one competitor but not to the other competitor which can takeit up harmlessly. The pioneering work in this direction is that of Lenski and Hattingh. Theyconsidered the effect of the inhibitor on populations of the two organisms in a 'well-stirred' bio-