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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 864367, 10 pages
Research Article

Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response

1School of Science, Guilin University of Technology, Guilin, Guangxi 541004, China
2Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China

Received 8 June 2015; Revised 23 September 2015; Accepted 28 September 2015

Academic Editor: Luca Gori

Copyright © 2015 Xiangmin Ma 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.


An impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient conditions for the permanence of this system are established via impulsive differential comparison theorem. Furthermore, abundant results of numerical simulations are given by choosing two different and concrete functional responses, which indicate that impulsive effects, stage-structure, and functional responses are vital to the dynamical properties of this system. Finally, the biological meanings of the main results and some control strategies are given.