Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 198927, 9 pages
http://dx.doi.org/10.1155/2013/198927
Research Article

Existence of Multiple Positive Periodic Solutions to Two Species Parasitical Model with Impulsive Effects and Harvesting Terms

Department of Mathematics, Yuxi Normal University, Yuxi, Yunnan 653100, China

Received 15 July 2012; Revised 10 January 2013; Accepted 6 February 2013

Academic Editor: Eric R. Kaufmann

Copyright © 2013 Zhouhong Li. 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

By applying Mawhin’s continuation theorem of coincidence degree theory and some skills of inequalities, we establish the existence of four positive solutions for two species parasitical system with impulsive effects and harvesting terms. Finally, an example is given to illustrate the effectiveness of our results.