[ΒΙΒΛΙΟ][B] The chemostat: Mathematical theory of microorganism cultures

J Harmand, C Lobry, A Rapaport, T Sari - 2017 - books.google.com
Invented by J. Monod, and independently by A. Novick and L. Szilard, in 1950, the
chemostat is both a micro-organism culturing device and an abstracted ecosystem managed …

[HTML][HTML] Perspectives in mathematical modelling for microbial ecology

MJ Wade, J Harmand, B Benyahia, T Bouchez… - Ecological …, 2016 - Elsevier
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 …

[HTML][HTML] A new hypothesis to explain the coexistence of n species in the presence of a single resource

C Lobry, J Harmand - Comptes …, 2006 - comptes-rendus.academie-sciences …
This paper presents a hypothesis allowing us to explain the coexistence of several species
(here micro-organisms) in competition on a single resource (called a substrate) in a …

A density-dependent model of competition for one resource in the chemostat

R Fekih-Salem, C Lobry, T Sari - Mathematical biosciences, 2017 - Elsevier
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 …

[HTML][HTML] Extensions of the chemostat model with flocculation

R Fekih-Salem, J Harmand, C Lobry, A Rapaport… - Journal of Mathematical …, 2013 - Elsevier
In this work, we study a model of the chemostat where the species are present in two forms,
isolated and aggregated individuals, such as attached bacteria or bacteria in flocks. We …

Limitation by a shared mutualist promotes coexistence of multiple competing partners

SP Hammarlund, T Gedeon, RP Carlson… - Nature …, 2021 - nature.com
Although mutualisms are often studied as simple pairwise interactions, they typically involve
complex networks of interacting species. How multiple mutualistic partners that provide the …

Competition for a single resource and coexistence of several species in the chemostat

N Abdellatif, R Fekih-Salem, T Sari - Mathematical Biosciences & …, 2016 - aimsciences.org
We study a model of the chemostat with several species in competition for a single resource.
We take into account the intra-specific interactions between individuals of the same …

Mathematical Analysis of a Bacterial Competition in a Continuous Reactor in the Presence of a Virus

AA Alsolami, M El Hajji - Mathematics, 2023 - mdpi.com
In this paper, we discuss the competition of two species for a single essential growth-limiting
nutriment with viral infection that affects only the first species. Although the classical models …

How flocculation can explain coexistence in the chemostat

B Haegeman, A Rapaport - Journal of Biological Dynamics, 2008 - Taylor & Francis
We study a chemostat model in which two microbial species grow on a single resource. We
show that species coexistence is possible when the species which would normally win the …

Quaternionic contact structures in dimension

D Duchemin - Annales de l'institut Fourier, 2006 - numdam.org
The conformal infinity of a quaternionic-Kähler metric on a 4nmanifold with boundary is a
codimension 3 distribution on the boundary called quaternionic contact. In dimensions 4n− 1 …