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

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.