Finite time blowup of the stochastic shadow Gierer-Meinhardt System

By choosing some special (random) initial data, we prove that with probability 1, stochastic shadow Gierer-Meinhardt system blows up in finite time in the pointwise sense. We also give a (random) upper bound for the blowup time and some estimates about this bound. By increasing the amplitude of initial data, we can get a blowup in any short time with a positive probability.