Abstract

The purpose of this paper is to offer a complete global analysis of the behavior of solutions of either the variable - yield two microbial growths, limited by a single scare nutrient, or of competition between two microbial populations for a single limiting nutrient. Basically, we confirm that the variable - yield models make the same predictions concerning the growth of asingle population and concerning by out come of competition between two microbial populations, as the simpler constant - yield models.

Key words: Chemostat, global stability, population dynamics, and equilibria.