fights between parrots

Hello, I have two beautiful cockatiels (a male and a female, confirmed by tests). Recently, they've started fighting more often, and the aggression between them is becoming more intense. I've noticed that the female is starting to attack the other and won't let up until she's tired. These fights are starting to worry me because, for example, I woke up today and they were fighting as usual, but the female was chasing him around the room and wouldn't let go. They got to the cage, and it only got worse; one of them started screaming. Both parrots are 5 years old. I know that a female can experience hormonal imbalance and become aggressive before laying eggs, but I don't know what to do. I should also add that the parrots aren't completely tamed; they don't like to be petted and come and sit on me when they're hungry. I admit that when I first got them, I made the mistake of petting their backs. Of course, I haven't done that for a long time now. I am asking for advice or help because I am starting to fear that I will eventually wake up and see blood splattered all over the room.

sorry if something is unclear, I'm using Google Translator.