Blow-up rate for a semilinear reaction diffusion system

This paper deals with the blow-up rate of positive solution to semilinear reaction diffusion system: (u1)t = Δu1 + u2p1,…, (un−1)t = Δun−1 + unpn−1, (un) = Δu1 + u1pn, with null Dirichlet boundary conditions. The upper and lower bounds of blow-up rate were obtained.