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

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