Dynamic Analysis of an Impulsive Chemostat Model with Microbial Competition and Nonlinear Perturbation
Year: 2023
Author: Yue Dong, Xinzhu Meng
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 597–620
Abstract
In this paper, we propose an impulsive chemostat model with microbial competition and nonlinear perturbation. First, thresholds for the extinction of both microorganisms are given. Second, we investigate the persistence in mean and boundedness of the chemostat system by constructing Lyapunov function. Moreover, we obtain the sufficient condition for the existence of an ergodic stationary distribution of the system. At last, numerical simulations are presented, and the results show that the competition between two species tends to make one species disappear from their common habitat, especially when the competition is concentrated in a single resource.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.597
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 597–620
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Impulsive chemostat model microbial competition ergodic stationary distribution extinction persistence in mean.