Blowup estimates for a mutualistic model in ecology

The cooperating two-species Lotka-Volterra model is dis- cussed. We study the blowup properties of the solution to a parabolic system with homogeneous Dirichlet boundary conditions. The upper and lower bounds of blowup rate are obtained. ut d1 u = u(a1 b1u c1v); x 2 ; t > 0; vt d2 v = v(a2 b2u c2v); x 2 ; t > 0; u(x) = v(x) = 0; x 2 @ ; t > 0; u(x; 0) = u0(x); v(x; 0) = v0(x); x 2 ;