Models of competition in the chemostat with instantaneous and delayed nutrient recycling (Q1802314)

The authors study models for the competition between two species in a chemostat in which nutrient recycling takes place. One of the models consists of a system of ordinary differential equations and the other of a system of functional differential equations with infinite delay. Roughly speaking, a system persists if each component of a solution is positive and bounded away from zero when that component initially was positive. The authors study the equilibrium solutions of their models and derive sufficient conditions for persistence.