Existence and persistence of positive solution for a stochastic turbidostat model

被引：1
作者：
Li, Zuxiong [1 ,2 ]
Mu, Yu [1 ]
Xiang, Huili [1 ]
Wang, Hailing [1 ,2 ]
机构：
[1] Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
turbidostat model; white noise; persistence in mean; stochastic persistence; extinction; BREAK-EVEN CONCENTRATION; VARYING POPULATION-SIZE; PREDATOR-PREY MODEL; CHEMOSTAT MODEL; POLLUTED ENVIRONMENT; EPIDEMIC MODEL; FUNCTIONAL-RESPONSE; COMPETITIVE MODEL; DYNAMICS ANALYSIS; STABILITY;
D O I：
10.1186/s13662-017-1448-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel stochastic turbidostat model is investigated in this paper. The stochasticity in the model comes from the maximal growth rate influenced by white noise. Firstly, the existence and uniqueness of the positive solution for the system are demonstrated. Secondly, we analyze the persistence in mean and stochastic persistence of the system, respectively. Sufficient conditions about the extinction of the microorganism are obtained. Finally, numerical simulation results are given to support the theoretical conclusions.
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页数：17
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