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

Joint Authors

Zhang, Fengqin
Wang, Kai
Teng, Zhidong

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-21, 21 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-10-04

Country of Publication

Egypt

No. of Pages

21

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Wang, Kai& Teng, Zhidong& Zhang, Fengqin. 2010. Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-501608

Modern Language Association (MLA)

Wang, Kai…[et al.]. Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-21.
https://search.emarefa.net/detail/BIM-501608

American Medical Association (AMA)

Wang, Kai& Teng, Zhidong& Zhang, Fengqin. Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-21.
https://search.emarefa.net/detail/BIM-501608

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-501608