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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 371852, 9 pages
http://dx.doi.org/10.1155/2015/371852
Research Article

Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion

College of Mathematics, Chongqing Normal University, Chongqing 400047, China

Received 25 January 2015; Revised 9 May 2015; Accepted 13 May 2015

Academic Editor: Gian I. Bischi

Copyright © 2015 Lingzhi Huang and Zhichun Yang. 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

We consider a delayed predator-prey model with harvesting effort and impulsive diffusion between two patches. By the impulsive comparison theorem and the discrete dynamical system determined by the stroboscopic map, we obtain some sufficient conditions on the existence and global attractiveness of predator-eradicated periodic solution for the system. Furthermore, the permanence of the system is derived. The obtained results will modify and improve the ones in some existing publications and give the estimate for the ultimately low and upper boundedness of the systems.