具有一般反应函数与贴壁生长现象的随机恒化器模型的全局动力学行为

Abstract

Abstract:

This paper deals with problems of a stochastic chemostat model with general response function and wall growth. We show the conditions for the microorganism to be extinct. On the other hand, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the model which means the microorganism can become persistent. Finally, example and numerical simulations are introduced to illustrate the analytical results.

Key words: Chemostat, Wall growth, Extinction, Stationary distribution, General response functions

CLC Number:

O211.63

Liya Liu,Daqing Jiang. Global Dynamics of a Stochastic Chemostat Model with General Response Function and Wall Growth[J].Acta mathematica scientia,Series A, 2021, 41(6): 1912-1924.

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References 28

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Global Dynamics of a Stochastic Chemostat Model with General Response Function and Wall Growth

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