Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 90158, 12 pages
doi:10.1155/2007/90158
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
Abstract
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.