Temporal decay indices α2 vs. α1 for our samples (excluding the internal plateau bursts). The three solid lines indicate the closure relations of three specific external shock models invoking energy injection with the parameter q = 0, as is expected in the BH/magnetar central engine models. The red, black, and blue solid lines are the models α2 = (3α1 + 3)/2 (νm < νx < νc; ISM); α2 = (3α1 + 1)/2 (νm < νx < νc; wind); and ﹩{\alpha }_{2}=(3{\alpha }_{1}+2)/2\,({\nu }_{m}\lt {\nu }_{x}\lt {\nu }_{c}﹩; ISM and wind).