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 increase in noise correlation time in basal rate makes system steady states more stable and amplify the protein production .