Threshold results for semilinear parabolic systems

In this paper, we study initial–boundary value problem of semi-linear parabolic system (1.1) in Section  1, and prove that any positive equilibrium of problem  (1.1) is an initial datum threshold for the existence and nonexistence of global solution to it. For the precise statement of this result, see Theorem 1.1 in Section  1 of this paper.