There's likely no way to stop brown discharge if the cause is menstruation or ovulation. This may just be a variation of normal bodily functions. You may consider wearing a panty liner or period ...
Some people experience symptoms halfway through their cycle that can indicate they're ovulating. OB-GYNs share what signals ovulation.
People generally produce 0.06-0.17 ounces—about one-half to 1 teaspoon—of vaginal discharge per day. The amount tends to vary daily, often affected by factors like ovulation and birth control.