Dynamical Analysis of Nonautonomous Trophic Cascade Chemostat Model with Regime Switching and Nonlinear Perturbations in a Polluted Environment

作     者：Ya-jie LI Hao-kun QI Zheng-bo CHANG Xin-zhu MENG Ya-jie LI;Hao-kun QI;Zheng-bo CHANG;Xin-zhu MENG

作者机构：College of Mathematics and Systems ScienceShandong University of Science and TechnologyQingdao 266590China Weifang Commercial College of ShandongWeifang 261011China College of Mathematics and Information ScienceAnshan Normal UniversityAnshan 114007China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2023年第39卷第3期

页      面：550-570页

核心收录：

学科分类：083002[工学-环境工程] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 07[理学] 08[工学] 09[农学] 0903[农学-农业资源与环境] 0713[理学-生态学] 

基　　金：the National Natural Science Foundation of China (No.12271308) the Research Fund for the Taishan Scholar Project of Shandong Province of China Shandong Provincial Natural Science Foundation of China (ZR2019MA003) 

主　　题：stochastic trophic cascade chemostat model Markov chain extinction and stochastic permanence periodic solution ergodicity 

摘      要：This paper investigates the stochastic dynamics of trophic cascade chemostat model perturbed by regime switching, Gaussian white noise and impulsive toxicant input. For the system with only white noise interference, sufficient conditions for stochastically ultimate boundedness and stochastically permanence are obtained, and we demonstrate that the stochastic system has at least one nontrivial positive periodic solution. For the system with Markov regime switching, sufficient conditions for extinction of the microorganisms are established. Then we prove the system is ergodic and has a stationary distribution. The results show that both impulsive toxins input and stochastic noise have great effects on the survival and extinction of the microorganisms. Finally, a series of numerical simulations are presented to illustrate the theoretical analysis.