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This paper investigates the global existence and blow-up of nonnegative solution of the systemwith homogeneous Dirichlet boundary conditions, where [Omega][subset of]RN is a bounded domain with smooth boundary [not partial differential][Omega], m, n>1, p1, p2, q1, q2>0. The results depend crucially on the number pi, qi, m, n, the domain [Omega] and the initial data u0(x), v0(x). Moreover, we obtain the blow-up rate of the blow-up solution under some appropriate hypotheses.
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