Blowup estimates for a parabolic system in a three-species cooperating model ✩

Blowup estimates for solutions of a parabolic system, which arises in a cooperating three-species food chain model, with homogeneous Dirichlet boundary conditions are investigated. The upper bound of blowup rate for any N and the lower bound of blowup rate for N = 1 are obtained.  2004 Elsevier Inc. All rights reserved.