Journal of Applied Mathematics
Volume 2012 (2012), Article ID 702603, 12 pages
http://dx.doi.org/10.1155/2012/702603
Research Article

Global Existence of Classical Solutions to a Three-Species Predator-Prey Model with Two Prey-Taxes

Chenglin Li1,2 and Zhangguo Hong1

1School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
2Department of Mathematics, Baoshan College, Baoshan, Yunnan 678000, China

Received 8 September 2011; Accepted 23 November 2011

Academic Editor: Alain Miranville

Copyright © 2012 Chenglin Li and Zhangguo Hong. 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 are concerned with three-species predator-prey model including two prey-taxes and Holling type II functional response under no flux boundary condition. By applying the contraction mapping principle, the parabolic Schauder estimates, and parabolic 𝐿 𝑝 estimates, we prove that there exists a unique global classical solution of this system.