TY - JOUR
T1 - Dynamic Analysis of an Impulsive Chemostat Model with Microbial Competition and Nonlinear Perturbation
AU - Dong , Yue
AU - Meng , Xinzhu
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 597
EP - 620
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.597
UR - https://global-sci.org/intro/article_detail/jnma/21954.html
KW - Impulsive chemostat model, microbial competition, ergodic stationary distribution, extinction, persistence in mean.
AB - <p style="text-align: justify;">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.</p>