Laboratory for Control, Learning, and Systems Biology

Papers by S.A. Levin and E.D. Sontag

2006
  1. ▪P. de Leenheer, S.A. Levin, E.D. Sontag, C.A. Klausmeier, "Global stability in a chemostat with multiple nutrients", J. Mathematical Biology, vol. 52, pp. 419–438, 2006. pdf
    systems biology · reaction networks · nonlinear stability · dynamical systems · monotone systems
    Abstract

    We study a single species in a chemostat, limited by two nutrients, and separate nutrient uptake from growth. For a broad class of uptake and growth functions it is proved that a nontrivial equilibrium may exist. Moreover, if it exists it is unique and globally stable, generalizing a previous result by Legovic and Cruzado.