Mathematical modelling of bioprocesses has a long and notable history, with eminent
contributions from fields including microbiology, ecology, biophysics, chemistry, statistics …

Although mathematical modelling has reached a degree of maturity in the last decades,
microbial ecology is still develo**, albeit at a rapid pace thanks to new insights provided …

In this research paper, we presented a four-dimensional mathematical system modeling the
anaerobic mineralization of phenol in a two-step microbial food-web. The inflowing …

This paper deals with a two-microbial species model in competition for a single-resource in
the chemostat including general intra-and interspecific density-dependent growth rates with …

This paper deals with the theoretical study of the anaerobic digestion of protein-rich
substrates. Since the success of such digestion raises the issue of the possible release of …

In this article, we present a mathematical six-dimensional dynamical system involving a
three-tiered microbial food web without maintenance. We give a qualitative analysis of the …

The anaerobic digestion model ADM1 is a complex model which is widely accepted as a
common platform for anaerobic process modeling and simulation. However, it has a large …

The complexity of the anaerobic digestion process has motivated the development of
complex models, such as the widely used Anaerobic Digestion Model No. 1. However, this …

Understanding and exploiting the inhibition phenomenon, which promotes the stable
coexistence of species, is a major challenge in the mathematical theory of the chemostat …

The mathematical analysis of a three-tiered food-web describing anaerobic chlorophenol
mineralisation has suggested the emergence of interesting dynamical behaviour through its …