Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 389727, 15 pages
Research Article

On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects

Kaiyuan Liu1,2 and Lansun Chen2

1Department of Mathematics, Anshan Normal University, Anshan 114007, China
2Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China

Received 12 June 2007; Revised 5 February 2008; Accepted 20 March 2008

Academic Editor: Xue-Zhong He

Copyright © 2008 Kaiyuan Liu and Lansun Chen. 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.


We consider a periodic time-dependent predator-prey system with stage structure and impulsive harvesting, in which the prey has a life history that takes them through two stages, immature and mature. A set of sufficient and necessary conditions which guarantee the permanence of the system are obtained. Finally, we give a brief discussion of our results.