Comments on "Limit cycles in the chemostat with constant yields" Mathematical and Computer Modelling 45 (2007) 927-932

Tewfik Sari (1, 2, 3)

1 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie
2 LMIA - Laboratoire de Mathématiques Informatique et Applications [UHA]
3 MERE - Water Resource Modeling

Several elements of the 2007 paper "Limit cycles in the chemostat with constant yields" are incorrect and in contradiction to well established results of the literature. In particular the claim that limit cycles can exist in the chemostat with two competitors for a single nutrient and constant yields is utterly false. It is well known that in this model the competitive exclusion principle holds.

Mots clés: Competitive exclusion; Chemostat; Constant yield

Domaines: Systèmes dynamiques [math.DS]

Tewfik Sari. Comments on "Limit cycles in the chemostat with constant yields" Mathematical and Computer Modelling 45 (2007) 927-932. Mathematical and Computer Modelling, 2010, 52 (9-10), http://dx.doi.org/10.1016/j.mcm.2010.07.010. ⟨10.1016/j.mcm.2010.07.010⟩. ⟨hal-00505820⟩