title: Global dynamics of the chemostat with different removal rates and variable yields.
abstract: In this paper, we consider a competition model between n species in a chemostat including both monotone and non-monotone growth functions, distinct removal rates and variable yields. We show that only the species with the lowest break-even concentration survives, provided that additional technical conditions on the growth functions and yields are satisfied. We construct a Lyapunov function which reduces to the Lyapunov function used by S. B. Hsu [SIAM J. Appl. Math., 34 (1978), pp. 760-763] in the Monod case when the growth functions are of Michaelis-Menten type and the yields are constant. Various applications are given including linear, quadratic and cubic yields.
authors.affiliation: Université de Haute Alsace, Mulhouse, France. Tewfik.Sari@uha.fr
authors.forename: Tewfik
authors.initials: T
authors.lastname: Sari
authors.forename: Frederic
authors.initials: F
authors.lastname: Mazenc
mesh_terms: D018407:Bacterial Physiological Phenomena; D019149:Bioreactors / Q000382:microbiology*; D003198:Computer Simulation; D008954:Models, Biological; D011158:Population Growth