Stochastic dynamics of the delayed chemostat with Levy noises

作     者：Dinnli Zhao Sanling Yuan Haidong Liu 

作者机构：College of Science University of Shanghai for Science and Technology Shanghai 200093P.R.China School of Mathematical Sciences Qufu Normal University Qufu 273165P.R.China 

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5期

页      面：171-202页

核心收录：

学科分类：0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：National Natural Science Foundation of China, NSFC, (11671260) Shanghai Leading Academic Discipline Project, (XTKX2012) 

主　　题：Delayed ehemostat models Ldvy noises sample Lyapunov exponents thresh-old recurrence 

摘      要：This paper formulates and studies a delayed ehemostat with Levy *** of the glohally positive solution is proved first by establishing suitable Lyapunov functions,and a further result on exact Lyapunov exponent shows the growth of the total concentration in the ***,we prove existence of the uniquely ergodic stationary distribution for a subsystem of the nutrient,based on this,a unique threshold is identified,which completely determines persistence or not of the microorganism in the ***,recurrence is studied under special conditions in case that the microorganism *** indicate that all the noises have negative effects on persistence of the microorganism,and the time delay has almost no effects on the sample Lyapunov exponent and the threshold value of the ehemostat.