[图书][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] Coexistence in competition models with density-dependent mortality

S Ruan, A Ardito, P Ricciardi, DL DeAngelis - Comptes rendus biologies, 2007 - Elsevier
We consider a two-competitor/one-prey model in which both competitors exhibit a general
functional response and one of the competitors exhibits a density-dependent mortality rate. It …

Global stability for a model of competition in the chemostat with microbial inputs

G Robledo, F Grognard, JL Gouzé - Nonlinear Analysis: Real World …, 2012 - Elsevier
We propose a model of competition of n species in a chemostat, with constant input of some
species. We mainly emphasize the case that can lead to coexistence in the chemostat in a …

[图书][B] Le chémostat: Théorie mathématique de la culture continue de micro-organismes

J Harmand, C Lobry, A Rapaport, T Sari - 2017 - books.google.com
Inventé par J. Monod, et indépendamment par A. Novick et L. Szilard en 1950, le chémostat
est à la fois un dispositif de laboratoire de culture en continu de micro-organismes et une …

[HTML][HTML] Stability analysis of mathematical model of competition in a chain of chemostats in series with delay

F Mazenc, SI Niculescu, G Robledo - Applied Mathematical Modelling, 2019 - Elsevier
We study a nonlinear system of differential delay equations describing a model of a chain of
two chemostats, where one contains two microbial species in competition for a single …

[PDF][PDF] Effect on persistence of intra-specific competition in competition models.

C Lobry, F Mazenc - Electronic Journal of Differential Equations (EJDE) …, 2007 - eudml.org
An ecological model describing the competition for a single substrate of an arbitrary number
of species is considered. The mortality rates of the species are not supposed to have all the …

Competition between phytoplankton and bacteria: exclusion and coexistence

F Grognard, P Masci, E Benoît, O Bernard - Journal of Mathematical …, 2015 - Springer
Resource-based competition between microorganisms species in continuous culture has
been studied extensively both experimentally and theoretically, mostly for bacteria through …

The rule in the stochastic Holt-Lawton model of apparent competition

SJ Schreiber - arXiv preprint arXiv:2007.01953, 2020 - arxiv.org
In $1993 $, Holt and Lawton introduced a stochastic model of two host species parasitized
by a common parasitoid species. We introduce and analyze a generalization of these …

Stabilization in a two-species chemostat with Monod growth functions

F Mazenc, M Malisoff, J Harmand - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
We design feedback controllers for two species chemostats so that an equilibrium with
arbitrary prescribed positive species concentrations becomes globally asymptotically stable …

Global output feedback stabilization of a chemostat with an arbitrary number of species

F Mazenc, ZP Jiang - IEEE Transactions on Automatic Control, 2010 - ieeexplore.ieee.org
This technical note studies the global output feedback stabilization problem for a chemostat
with an arbitrary number of species competing for a single nutrient source. It is shown that …