Results 21 to 30 of about 24,216,701 (241)

Feedback Linearization of a Reduced Chemostat Model Under Inflow Disturbances

open access: yesMathematics
This paper investigates the stabilization of a chemostat system with biomass settling dynamics using feedback linearization and model reduction techniques.
Abdullah Abu-Rqayiq, Haneen Alayed
doaj   +2 more sources

Extended Hybrid Controller Design of Bifurcation in a Delayed Chemostat Model

open access: yesMatch - Communications in Mathematical and in Computer Chemistry, 2023
Fractional-order differential models plays a pivotal role in depicting the relationship among concentration changes of various chemical substances in chemistry. In this current study, we will explore the dynamics of a delayed chemostat model.
Changjin Xu   +9 more
semanticscholar   +1 more source

Dynamical behaviors of stochastic chemostat model with general response functions

open access: yes上海师范大学学报. 自然科学版, 2022
In this paper, a stochastic chemostat model with general response functions is studied. Meanwhile, it first proves the existence and uniqueness of the globally positive solutions for the model.
GUO Yi, JI Yue, DING Yu, LYU Xiang
doaj   +1 more source

Stability and bifurcation control for a fractional-order chemostat model with time delays and incommensurate orders.

open access: yesMathematical biosciences and engineering : MBE, 2023
In this paper, a delayed fractional Lotka-Volterra food chain chemostat model with incommensurate orders is proposed, and the effect on system stability and bifurcation of this model are discussed.
Xiaomeng Ma, Zhanbing Bai, Sujing Sun
semanticscholar   +1 more source

Operating diagram of a flocculation model in the chemostat [PDF]

open access: yesRevue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2020
The objective of this study is to analyze a model of the chemostat involving the attachment and detachment dynamics of planktonic and aggregated biomass in the presence of a single resource. Considering the mortality of species, we give a complete analysis for the existence and local stability of all steady states for general monotonic growth rates ...
Fekih-Salem, Radhouane, Sari, Tewfik
openaire   +6 more sources

Dynamical bifurcation of a sewage treatment model with general higher-order perturbation

open access: yesResults in Physics, 2022
In this research, we expose new results on the dynamics of a high disturbed chemostat model for industrial wastewater. Due to the complexity of heavy and erratic environmental variations, we take into consideration the polynomial perturbation.
Yassine Sabbar   +6 more
doaj   +1 more source

Bifurcation Analysis of a Discrete-Time Chemostat Model

open access: yesMathematical Problems in Engineering, 2023
In this article, a discretized two-dimensional chemostat model is investigated. By using the algebraic technique, it is proved that the discrete chemostat model has semitrivial equilibrium solution for all involved parametric values, but it has an ...
K. Al-Basyouni, Abdul Qadeer Khan
semanticscholar   +1 more source

Microbial Interactions as Drivers of a Nitrification Process in a Chemostat

open access: yesBioengineering, 2021
This article deals with the inclusion of microbial ecology measurements such as abundances of operational taxonomic units in bioprocess modelling. The first part presents the mathematical analysis of a model that may be framed within the class of Lotka ...
Pablo Ugalde-Salas   +3 more
doaj   +1 more source

Dynamics of an unstirred chemostat model with Beddington–DeAngelis functional response

open access: yesFrontiers in Physics, 2023
This paper deals with an unstirred competitive chemostat model with the Beddington–DeAngelis functional response. With the help of the linear eigenvalue theory and the monotone dynamical system theory, we establish a relatively clear dynamic ...
Wang Zhang, Hua Nie, Zhiguo Wang
doaj   +1 more source

Bifurcation analysis of a food chain chemostat model with Michaelis-Menten functional response and double delays

open access: yesAIMS Mathematics, 2022
In this paper, we study a food chain chemostat model with Michaelis-Menten function response and double delays. Applying the stability theory of functional differential equations, we discuss the conditions for the stability of three equilibria ...
Xin Xu   +5 more
semanticscholar   +1 more source

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