Asymptotic behavior of an unstirred chemostat model with internal inhibitor

Global Asymptotic Behavior of a Chemostat Model with Discrete Delays

This paper studies the global asymptotic behavior of an exploitative competition model between n species in a chemostat. The model incorporates discrete time delays to describe the delay in the conversion of nutrient consumed to viable biomass and hence includes delays simultaneously in variables of nutrient and species concentrations. In the case where only two species are engaged in competiti...

Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage

The dynamics of a reaction-diffusion system for two species of microorganism in an unstirred chemostat with internal storage is studied. It is shown that the diffusion coefficient is a key parameter of determining the asymptotic dynamics, and there exists a threshold diffusion coefficient above which both species become extinct. On the other hand, for diffusion coefficient below the threshold, ...

The Effect of Inhibitor on the Plasmid-Bearing and Plasmid-Free Model in the Unstirred Chemostat

This paper deals with a chemostat model with an inhibitor in the context of competition between plasmid-bearing and plasmid-free organisms. First, sufficient conditions for coexistence of the steady-state are determined. Second, the effects of the inhibitor are considered. It turns out that the parameter μ, which represents the effect of the inhibitor, plays a very important role in deciding th...

Competition in the Unstirred Chemostat with Periodic Input and Washout

On a system of reaction–diffusion equations arising from competition with internal storage in an unstirred chemostat

Article history: Received 22 September 2009 Revised 26 October 2009 Available online 15 January 2010 MSC: 92A17 35K55 35K57 35J65