The School of Biological Sciences, 1.800 Stopford Building, University of Manchester, Manchester M13 9PT, UK Fusarium gramhearum was grown in batch and continuous (chemostat) culture on a glucose-mineral salts medium in the presence and absence of casein. In the absence of casein no protease activity was detected in the culture filtrate from either batch or chemostat culture. For batch cultures...

In anaerobic digestion plants, it is often crucial to measure state variables such as the substrate or biomass densities for monitoring process. But, this task can be very difficult achieve because sensors are sometimes unavailable, unreliable expensive. For these reasons software sought instead, using indirect measurements. paper, we design a new observer chemostat model with single measuremen...

In this research we introduce and study, analytic and numerically, a model of chemostat with distributed delay. This a generalization of the model, with no delay, first treated by Kuang. We give conditions for asymptotic stability, survival of species or extinction of them. This research has been partially supported by Central Bank of Venezuela. 2050 Mario Cavani et al. Mathenatics Subject Clas...

We study a model of competition for resource through a chemostat-type model where species consume the common resource that is constantly supplied. We assume that the species and resources are characterized by a continuous trait. As already proved, this model, although more complicated than the usual Lotka-Volterra direct competition model, describes competitive interactions leading to concentra...

Two models for competition of two populations in a chemostat environment with nutrient recycling are considered. In the first model, the recycling is instantaneous, whereas in the second, the recycling is delayed. For each model an equilibrium analysis is carried out, and persistence criteria are obtained. This paper extends the work done by Beretta et al. (1990) for a single species.