Stationary distribution and periodic solution of stochastic chemostat models with single-species growth on two nutrients

作     者：Miaomiao Gao Daqing Jiang Taxawar Haya 

作者机构：College of ScienceChina University o/Petroleum(Haul China)Qingdao 266580P.R.China Keg laboratory of Unconventional Oil and Cos Development China University of Petroleum(East China)Ministry of Education.Qingdao 260580.P.It.China Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group Department of Mathematics.King Abdulaziz University Jeddah 21589Saudi Arabia Department of MathematicsQuaid-I-Azam University 45320 Islamabad 44000.Pakistan 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2019年第12卷第6期

页      面：23-41页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of P.R.China(No.11871473) 

主　　题：Chemostat model Lyapunov function stationary distribution Markov pro cess periodic solution. 

摘      要：In this paper,we consider two chemostat models w th random perturbation,in which single species depends on two perfectly substitutable resources for *** the autonomous system,we first prove that the solution of the system is positive and *** we establish sufficient conditions for the existence of an ergodic stationary distribu tion by constructing appropriate Lyapunov functions-For the non-autonomous system,by using Mas minskii theory on periodic Markov processes,we derive it admits a nontriv ial positive periodic ***,numerical simulations are carried out to illustrate our main results.