Qualitative properties of chemostat equations with time delays. II
A chemostat model with continuous time delays for a nutrient recycling process and for a biotic species growth is considered. The fundamental assumption on the model is that the biotic species contain a self-regulating term which accounts for a finite carrying capacity of the enviroment. The authors show that the term can play an important role for the global stability of the model and extend the results obtained by the authors [Differ. Equ. Dyn. Syst. 2, No.~1, 19-40 (1994; Zbl 0868.45002)]. The authors prove the global stability for a partial feasible equilibrium. Further, two different global stability conditions for a positive equilibrium are obtained for the model by two different Krasovski-Lyapunov functionals.
scientific article; zbMATH DE number 1014345