Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 90158, 12 pages
Research Article

On the Study of Chemostat Model with Pulsed Input in a Polluted Environment

Zhong Zhao1 and Xinyu Song2

1Department of Mathematics, Huanghuai University, Henan 463000, Zhumadian, China
2Department of Mathematics, Xinyang Normal University, Henan 464000, Xinyang, China

Received 14 August 2006; Revised 8 December 2006; Accepted 1 January 2007

Copyright © 2007 Zhong Zhao and Xinyu Song. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution is globally asymptotically stable if the impulsive period T is more than a critical value. At the same time, we can find that the nutrient and microorganism are permanent if the impulsive period T is less than the critical value.