A size-structured, non-conservative ODE model of the chemostat.
We study a class of size-structured, ODE models of growth in the chemostat, that take into account cell maintenance and substrate dependent cell mortality. Unlike most classical chemostat models, they are supposed to be non-conservative, in the sense that they do not verify the mass conservation principle. However, using a change of time scale, we are able to obtain qualitative results. Then, using a Lyapunov functional, we prove the global stability of the non-trivial equilibrium. Some examples of the possible structure of the models are given to finish with.
Arino
Julien
J
Department of Mathematics and Statistics, University of Victoria, Victoria BC, Canada V8W 3P4. jarino@math.uvic.ca
Gouzé
Jean-Luc
JL
D018533:Biomass; D016923:Cell Death / Q000502:physiology; D002455:Cell Division / Q000502:physiology*; D008954:Models, Biological