Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism

Zhang Jian; Miao Anqi; Zhang Tongqian

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Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism

机译：具有两种营养和一种微生物的随机化学模型的阈值动力学

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A new stochastic chemostat model with two substitutable nutrients and one microorganism is proposed and investigated. Firstly, for the corresponding deterministic model, the threshold for extinction and permanence of the microorganism is obtained by analyzing the stability of the equilibria. Then, for the stochastic model, the threshold of the stochastic chemostat for extinction and permanence of the microorganism is explored. Difference of the threshold of the deterministic model and the stochastic model shows that a large stochastic disturbance can affect the persistence of the microorganismand is harmful to the cultivation of the microorganism. To illustrate this phenomenon, we give some computer simulations with different intensity of stochastic noise disturbance.

机译：提出并研究了一种新的具有两种可替代营养素和一种微生物的随机化学恒温器模型。首先，对于相应的确定性模型，通过分析平衡的稳定性来获得微生物的灭绝和持久性阈值。然后，对于随机模型，探讨了用于微生物灭绝和持久性的随机化学恒温器的阈值。确定性模型与随机模型的阈值差异表明，较大的随机干扰会影响微生物的持久性，对微生物的培养有害。为了说明这种现象，我们给出了一些具有不同强度的随机噪声干扰的计算机模拟。

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《Mathematical Problems in Engineering》 |2017年第9期|5217027.1-5217027.11|共11页
作者
Zhang Jian; Miao Anqi; Zhang Tongqian;
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Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China;

Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China;

Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China;

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2. Global dynamics and travelling waves for a periodic and diffusive chemostat model with two nutrients and one microorganism [J] . Wang Wei, Ma Wanbiao, Feng Zhaosheng Nonlinearity . 2020,第9期

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3. Dynamical analysis of multi-nutrient and single microorganism chemostat model in a polluted environment [J] . Mengnan Chi, Wencai Zhao Advances in Difference Equations . 2018,第1期

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Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism

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