Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input | Zendy

Kai Wang | Zendy; Zhidong Teng | Zendy; Fengqin Zhang | Zendy

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Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input

Author(s) -

Kai Wang,

Zhidong Teng,

Fengqin Zhang

Publication year - 2010

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2010/830951

Subject(s) - chemostat , extinction (optical mineralogy) , control theory (sociology) , liapunov function , function (biology) , nutrient , biological system , computer science , environmental science , mathematics , ecology , biology , geology , physics , control (management) , nonlinear system , mineralogy , genetics , quantum mechanics , artificial intelligence , evolutionary biology , bacteria

The dynamic behaviors in a chemostat model with delayed nutrient recycling and periodically pulsed input are studied. By introducing new analysis technique, the sufficient and necessary conditions on the permanence and extinction of the microorganisms are obtained. Furthermore, by using the Liapunov function method, the sufficient condition on the global attractivity of the model is established. Finally, an example is given to demonstrate the effectiveness of the results in this paper

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