PERIODIC SOLUTIONS FOR A STOCHASTIC CHEMOSTAT MODEL WITH IMPULSIVE PERTURBATION ON THE NUTRIENT

被引：4

作者：

Feng, Xiaomei ^{[1
]}

Sun, Jianxia ^{[2
]}

Wang, Lei ^{[3
]}

Zhang, Fengqin ^{[1
]}

Sun, Shulin ^{[2
]}

机构：

[1] Yuncheng Univ, Sch Math & Informat Technol, Yuncheng 044000, Peoples R China

[2] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[3] Xinjiang Med Univ, Dept Med Engn & Technol, Urumqi 830011, Peoples R China

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2021年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Stochastic Chemostat Model; Impulsive Effect; Ito Formula; Periodic Solution; Global Attraction; GENERAL RESPONSE FUNCTIONS; PREDATOR-PREY SYSTEM; MATHEMATICAL-MODEL; STATIONARY DISTRIBUTION; GLOBAL DYNAMICS; EPIDEMIC MODEL; COMPETITION; STABILITY; BEHAVIOR; EQUATION;

D O I：

10.1142/S0218339021500200

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we investigate a stochastic chemostat model with impulsive perturbation on the nutrient. First, the existence and uniqueness of solutions are proved by constructing a pulseless equivalent system. Second, based on Khasminskii's Markov periodic process theory, we give sufficient conditions for the existence of positive T-periodic solutions. Third, under certain conditions, the existence and global attractivity of boundary periodic solutions are established by using comparison theorem. Finally, numerical simulations are provided to verify our main results.

引用

页码：849 / 870

页数：22

共 50 条

[41] Complex dynamics of a chemostat with variable yield and periodically impulsive perturbation on the substrate
Sun, Shulin
Chen, Lansun
JOURNAL OF MATHEMATICAL CHEMISTRY, 2008, 43 (01) : 338 - 349
[42] Dynamics of a chemostat with periodic nutrient supply and delay in the growth
Amster, Pablo
Robledo, Gonzalo
Sepulveda, Daniel
NONLINEARITY, 2020, 33 (11) : 5839 - 5860
[43] Dynamics of a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant
Jianjun Jiao
Qiuhua Li
Advances in Difference Equations, 2020
[44] Dynamics of a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant
Jiao, Jianjun
Li, Qiuhua
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[45] Periodic solutions to impulsive stochastic reaction-diffusion neural networks with delays
Yao, Qi
Wang, Linshan
Wang, Yangfan
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 78
[46] Mean Square Almost Periodic Solutions for Impulsive Stochastic Differential Equations with Delays
Zhang, Ruojun
Ding, Nan
Wang, Linshan
JOURNAL OF APPLIED MATHEMATICS, 2012,
[47] Dynamics of an Impulsive Stochastic Nonautonomous Chemostat Model with Two Different Growth Rates in a Polluted Environment
Li, Yajie
Meng, Xinzhu
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2019, 2019
[48] On the chemostat model with impulsive input and time delay
Li, Luping
Jia, Jianwen
Cao, Hui
2010 4TH INTERNATIONAL CONFERENCE ON BIOINFORMATICS AND BIOMEDICAL ENGINEERING (ICBBE 2010), 2010,
[49] Investigation of a nutrient-plankton model with stochastic fluctuation and impulsive control
Zhao, Xin
Wang, Lijun
Tiwari, Pankaj Kumar
Liu, He
Wang, Yi
Li, Jianbing
Zhao, Min
Dai, Chuanjun
Guo, Qing
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (08) : 15496 - 15523
[50] Dynamics of a stochastic nutrient-plankton model with impulsive control strategy
Qing Guo
He Liu
Yi Wang
Jianbing Li
Min Zhao
Pankaj Kumar Tiwari
Zhan Jin
Chuanjun Dai
The European Physical Journal Plus, 138

← 1 2 3 4 5 →