Before revision:  We find that increase in noise correlation time in degradation rate can induce a regime shift from low to high protein concentration state and enhance the bistable regime, while noise in basal rate makes system steady states more stable and amplify the protein production .
After revision:  We find that increase in noise correlation time in degradation rate can induce a regime shift from low to high protein concentration state and enhance the bistable regime, while noise in basal rate retain the bimodal distribution .