Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function

被引：17
作者：
Chi, Mengnan [1 ]
Zhao, Wencai [1 ,2 ,3 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
[2] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control, Qingdao 266590, Shandong, Peoples R China
[3] Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Shandong, Peoples R China
来源：
COMPLEXITY | 2019年 / 2019卷
基金：
中国国家自然科学基金;
关键词：
CONTINUOUS-CULTURE; GLOBAL DYNAMICS; SYSTEM;
D O I：
10.1155/2019/8719067
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we formulate and investigate a two-microorganism and single nutrient chemostat model with Monod-Haldane response function and random perturbation. First, for the corresponding deterministic system, we introduce the conditions of the stability of the equilibrium points. Then, using Lyapunov function and Ito's formula, we investigate the existence and uniqueness of the global positive solution of the stochastic chemostat model. Furthermore, we explore and obtain the criterions of the extinction and the permanence for the stochastic model. Finally, numerical simulations are carried out to illustrate our main results.
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页数：13
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