Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 281052, 15 pages
http://dx.doi.org/10.1155/2012/281052
Research Article

Dynamic Inequalities on Time Scales with Applications in Permanence of Predator-Prey System

Meng Hu and Lili Wang

Department of Mathematics, Anyang Normal University, Anyang, Henan 455000, China

Received 15 February 2012; Revised 1 April 2012; Accepted 9 April 2012

Academic Editor: Vimal Singh

Copyright © 2012 Meng Hu and Lili Wang. 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 using the theory of calculus on time scales and some mathematical methods, several dynamic inequalities on time scales are established. Based on these results, we derive some sufficient conditions for permanence of predator-prey system incorporating a prey refuge on time scales. Finally, examples and numerical simulations are presented to illustrate the feasibility and effectiveness of the results.