Journal of Applied Mathematics

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

Chenglin Li and Zhangguo Hong

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 702603, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495007

Digital Object Identifier
doi:10.1155/2012/702603

Mathematical Reviews number (MathSciNet)
MR2872339

Zentralblatt MATH identifier
1241.34061

Citation

Li, Chenglin; Hong, Zhangguo. Global Existence of Classical Solutions to a Three-Species Predator-Prey Model with Two Prey-Taxes. J. Appl. Math. 2012 (2012), Article ID 702603, 12 pages. doi:10.1155/2012/702603. https://projecteuclid.org/euclid.jam/1355495007


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