Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 843735, 25 pages
http://dx.doi.org/10.1155/2012/843735
Research Article

Dynamic Behaviors in a Droop Model for Phytoplankton Growth in a Chemostat with Nutrient Periodically Pulsed Input

Kai Wang,1 Zhidong Teng,2 and Xueliang Zhang1

1Department of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830054, China
2College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

Received 23 December 2011; Accepted 20 March 2012

Academic Editor: Xue He

Copyright © 2012 Kai Wang et al. 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.

Abstract

The dynamic behaviors in a droop model for phytoplankton growth in a chemostat with nutrient periodically pulsed input are studied. A series of new criteria on the boundedness, permanence, extinction, existence of positive periodic solution, and global attractivity for the model are established. Finally, an example is given to demonstrate the effectiveness of the results in this paper.