Open Access Open Access  Restricted Access Subscription or Fee Access

Qualitative Analysis of Three-Dimensional Competition Model of Chemostat System

Shuke Zhou, Qiuhong Li


Chemostat system is used to describe the mathematical model of microbial continuous cultivation process in the laboratory,it is a simplified model of lakes, oceans, etc.The two species competition system with proportional rate is studied in this article, and the global stability of the equilibrium points are proved by studying . When the growth rate is proportional growth function, and consumption rate is a constant, the competitive exclusion principle still holds, which has important guiding significance for the cultivation of microorganisms. In the end, the correctness of the above conclusion is further proved by Matlab simulation experiment, when the parameters change within a certain range.


Chemostat system, Competition model, Global stability.

Full Text:



  • There are currently no refbacks.

Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.