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HOPF bifurcation of the chemostat with delay and simplified holling type-iv response function [PDF]
MATEC Web of Conferences, 2020 In this paper, the author investigates Chemostat with Delay and Simplifified Holling Type-IV Response Function, which more match the actual meaning in the chemostat system. Using bifurcation theory, we discuss the hopf bifurcation stability in detail.
Li Yanqiu
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Animals, 2022 The equine gastrointestinal (GI) microbiota is intimately related to the horse. The objective of the current study was to evaluate the microbiome and metabolome of cecal inoculum maintained in an anaerobic chamber or chemostat batch fermenter, as well as
Jennifer L. MacNicol +5 more
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Dynamical bifurcation of a sewage treatment model with general higher-order perturbation
Results 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
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Dynamical behaviors of stochastic chemostat model with general response functions
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
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Single-Cell Technologies to Understand the Mechanisms of Cellular Adaptation in Chemostats
Frontiers in Bioengineering and Biotechnology, 2020 There is a growing interest in continuous manufacturing within the bioprocessing community. In this context, the chemostat process is an important unit operation.
Naia Risager Wright +3 more
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Microbial Interactions as Drivers of a Nitrification Process in a Chemostat
Bioengineering, 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
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A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients
Advances in Difference Equations, 2009 A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is
Jianjun Jiao, Shaohong Cai
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Microbiology Spectrum, 2022 The study of bacteriophage communities reproducing in the gastrointestinal tract is limited by the quality of model systems supporting experimental manipulation in vitro.
Hedieh Attai +6 more
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Global analysis of a new nonlinear stochastic differential competition system with impulsive effect
Advances in Difference Equations, 2017 We propose a new stochastic competition chemostat system with saturated growth rate and impulsive toxicant input. The main purpose of this paper is to study the stochastic dynamics of a high-dimensional impulsive stochastic chemostat model and find the ...
Xuejin Lv, Lu Wang, Xinzhu Meng
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Mathematical Analysis of a Bacterial Competition in a Continuous Reactor in the Presence of a Virus
Mathematics, 2023 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.
Abdulrahman Ali Alsolami, Miled El Hajji
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