New result on the model-based biological control of the chemostat

Abstract

We investigate a known competition model of the chemostat with general (nonmonotone) response functions and distinct removal rates. Based on the competitive exclusion principle, Rapaport and Harmand (2008) [13] established the concept of the so called biological control. The proof of the latter result is based on a theorem of Li (1998) [11]. Here we first propose a modification of Li’s theorem and then present an extension of the biological control concept.