Dynamics of a chemostat with periodic nutrient supply and delay in the growth

P Amster, G Robledo, D Sepúlveda - Nonlinearity, 2020 - iopscience.iop.org
This paper introduces a new consideration in the well known chemostat model of a one-
species with a periodic input of single nutrient with period ω, which is described by a system …

Mathematical modeling of oxygen control in biocell composting plants

G Martalò, C Bianchi, B Buonomo, M Chiappini… - … and Computers in …, 2020 - Elsevier
We propose an optimal control problem to determine the best aeration strategy for aerobic
biodegradation in a composting cell. The goal is to minimize the deviation of the oxygen …

A new proof of the competitive exclusion principle in the chemostat

A Rapaport, M Veruete - arXiv preprint arXiv:1711.06928, 2017 - arxiv.org
We give an new proof of the well-known competitive exclusion principle in the chemostat
model with $ n $ species competing for a single resource, for any set of increasing growth …

[HTML][HTML] Bifurcation analysis of a SEIR epidemic system with governmental action and individual reaction

A Ajbar, RT Alqahtani - Advances in difference equations, 2020 - Springer
In this paper, the dynamical behavior of a SEIR epidemic system that takes into account
governmental action and individual reaction is investigated. The transmission rate takes into …

A Stability Aanalysis of a Time-Varying Chemostat with Pointwise Delay

F Mazenc, G Robledo, D Sepulveda - … Biosciences and Engineering, 2024 - inria.hal.science
This paper revisits a recently introduced chemostat model of one–species with a periodic
input of a single nutrient which is described by a system of delay differential equations …

Thermal safety assessment for catalytic decomposition of hydrogen peroxide by dynamic analysis

MÁG García, I Dobrosz-Gómez, JCO Toro - Process Safety and …, 2017 - Elsevier
The goal of this research was to identify, characterize, and gain insight into the oscillatory
thermal instability of hydrogen peroxide decomposition reaction. The experimental data …

Competitive exclusion and coexistence in a stoichiometric chemostat model

J Ji, H Wang - Journal of Dynamics and Differential Equations, 2022 - Springer
In this paper, we incorporate stoichiometry into a competition model in chemostat culture.
We first discuss the dynamics of this stoichiometric chemostat model for single algae …

Mean persistence and extinction for a novel stochastic turbidostat model

Z Li, Y Mu, H Xiang, H Wang - Nonlinear Dynamics, 2019 - Springer
A novel stochastic turbidostat model is proposed and investigated in this paper. Firstly, we
verify the existence and uniqueness of the positive solution for the model. Secondly …

[HTML][HTML] Static and Dynamic Analysis of a Continuous Bioreactor Model for the Production of Biofuel from Refinery Wastewater Using Rhodococcus opacus

A Ajbar, RT Alqahtani, SS Musa - Mathematics, 2022 - mdpi.com
This paper studied the bifurcation phenomena that can occur in a continuous bioreactor for
lipid-rich biomass production using Rhodococcus opacus that feeds on refinery wastewater …

Analysis of a chemostat model with variable yield coefficient and substrate inhibition: contois growth kinetics

RT Alqahtani, MI Nelson, AL Worthy - Chemical Engineering …, 2015 - Taylor & Francis
We analyze the steady-state operation of a generalized reactor model that encompasses a
continuous flow bioreactor and an idealized continuous flow membrane reactor as limiting …