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

[21] Global behaviors of Monod type chemostat model with nutrient recycling and impulsive input
Teng, Zhidong
Gao, Rong
Rehim, Mehbuba
Wang, Kai
JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 47 (01) : 276 - 294
[22] Periodic solution of a chemostat model with variable yield and impulsive state feedback control
Li, Zuxiong
Chen, Lansun
Liu, Zhijun
APPLIED MATHEMATICAL MODELLING, 2012, 36 (03) : 1255 - 1266
[23] Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations
Guendouzi, Toufik
Bousmaha, Lamia
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 6 (01): : 28 - 43
[24] Periodic solutions and stability analysis of a periodic impulsive species model
Li, Ze-Yu
Dou, Jia-Wei
Song, Guo-Hua
Zhongbei Daxue Xuebao (Ziran Kexue Ban)/Journal of North University of China (Natural Science Edition), 2008, 29 (01): : 8 - 11
[25] Dynamics of a stochastic delayed chemostat model with nutrient storage and Levy jumps
Chen, Xingzhi
Xu, Xin
Tian, Baodan
Li, Dong
Yang, Dan
CHAOS SOLITONS & FRACTALS, 2022, 165
[26] PERSISTENCE AND EXTINCTION OF A STOCHASTIC LOGISTIC MODEL WITH DELAYS AND IMPULSIVE PERTURBATION
卢春
丁效华
Acta Mathematica Scientia, 2014, 34 (05) : 1551 - 1570
[27] PERSISTENCE AND EXTINCTION OF A STOCHASTIC LOGISTIC MODEL WITH DELAYS AND IMPULSIVE PERTURBATION
Lu, Chun
Ding, Xiaohua
ACTA MATHEMATICA SCIENTIA, 2014, 34 (05) : 1551 - 1570
[28] Impulsive control strategy for a chemostat model with nutrient recycling and distributed time-delay
Tian, Baodan
Zhong, Shouming
Chen, Ning
Liu, Xianqing
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (04) : 496 - 507
[29] Dynamics of a plankton-nutrient chemostat model with hibernation and it described by impulsive switched systems
Jiao, Jianjun
Cai, Shaohong
Chen, Lansun
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 583 - 598
[30] Dynamics of a plankton-nutrient chemostat model with hibernation and it described by impulsive switched systems
Jianjun Jiao
Shaohong Cai
Lansun Chen
Journal of Applied Mathematics and Computing, 2017, 53 : 583 - 598

← 1 2 3 4 5 →