The threshold of stochastic chemostat model with Monod-Haldane response function

The Journal of Nonlinear Sciences and its Applications

LiyaLiu¹  ZhongweiCao² 

[1] College of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P. R.China;Department of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, P. R. China

关键词: Stochastic chemostat model;    threshold;    extinction;    persistence;    stationary distribution.;   

DOI  :  10.22436/jnsa.010.08.29

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

This paper deals with problem of a stochastic chemostat model with Monod-Haldane response function. Firstly, we confirm the truth of the existence and uniqueness of the positive solution to the system. Then, we show the condition for the microorganism to be extinct. Moreover, we investigate there is a stationary distribution of this stochastic system and finally, we derive the expression for its invariant density.

【 授权许可】

Unknown