Limit cycles in chemostat with constant yields
Using a 3-D Hopf bifurcation, we prove the existence of limit cycles in the chemostat of two competitors for a single nutrient with constant yields. This proof is done analytically with a corollary to the center manifold theorem. Therefore, the nonlinear oscillatory phenomena exist even in the chemostat with constant yields. (c) 2006 Elsevier Ltd. All rights reserved.
limit cycles chemostat constant yields hopf bifurcation lyapunov function