‎In this paper‎, ‎the fractional--order form of three dimensional chemostat model with variable yields is introduced‎. ‎The stability analysis of this fractional system is discussed in detail‎. ‎In order to study the dynamic behaviours of the mentioned fractional system‎, ‎the well known nonstandard (NSFD) scheme is implemented‎. ‎The proposed NSFD scheme is compared with the forward Euler and ...

This paper discusses a model of two interconnected chemostats in series, characterized by biomass mortality. A comparison is established with single chemostat the same total volume different cases, that are or without mortality rate. The outlet substrate concentration and biogas flow rate main criteria for comparison. According to conditions depending on operating parameters distribution volume...

When the diatom, Phaeodactylum tricornutum, and the microalga, Dunaliella tertiolecta, are cultured together in a chemostat at dilution factors of approximately 0.5 day-1, the diatom develops the higher population density. At dilution factors above 1.2 day-1 the inability of the diatom to assimilate nutrient as fast as it flows into the chemostat results in the microalga generating the larger p...

We show how a particular spatial structure with a buffer globally stabilizes the chemostat dynamics with non-monotonic response function, while this is not possible with single, serial or parallel chemostats of the same total volume and input flow. We give a characterization of the set of such configurations that satisfy this property, as well as the configuration that ensures the best nutrient...

1 Review of competition for a single substrate Paul Waltman’s chemostat-related work has had a large impact in population biology, ecology and bio-engineering. It has motivated and inspired the work of many other authors, including us. It seems appropriate to point out a major open problem which remains unresolved after more than thirty years and to touch on some other issues related to bacteri...

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...

tinuous stirred tank bioreactor, was independently invented by Jacques Monod1 and by Aaron Novick and Leo Szilard,2,3 who also coined the term chemostat. Its inventors conceived that this device provided a convenient way to study a bacterial population in the steady state, letting the experimenter adjust growth rate and external parameters, such as temperature or pH level. Novick and Szilard we...

A model of the simple chemostat which allows for growth on the wall (or other marked surface) is presented as three nonlinear ordinary differential equations. The organisms which are attached to the wall do not wash out of the chemostat. This destroys the basic reduction of the chemostat equations to a monotone system, a technique which has been useful in the analysis of many chemostat-like equ...

The aim of this course is to describe the mathematical model of competition in the chemostat and to study various mechanisms of coexistence of species. Basically, the chemostat consists of a nutrient input, pumped at a constant rate into a well-mixed culture vessel. The culture vessel contains the microorganisms that are growing and competing for the nutrient. Volume is kept constant by pumping...

A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory on impulsive delay differential equatio...