Dynamics of chemostats with variable yield

Sergei Pilyugin
The Ohio State University

(April 19, 2004 3:30 PM - 4:30 PM)

Dynamics of chemostats with variable yield

Abstract

The classical Monod model of microbial growth in a chemostat assumes that the yield coecient, de ned as the ratio of biomass production to nutrient consumption, is constant. In this talk, I will discuss the generalization of the Monod model to the case where the yield coeffcient is an increasing function of the nutrient concentration. In contrast to the Monod model, the variable yield model exhibits sustained oscillations. Moreover, the variable yield model may undergo a subcritical Hopf bifurcation and feature multiple limit cycles. I will present the mathematical methods that were derived to analyze this model. I will also discuss the implications of variable yield for the coexistence of two competing populations.