I just adopted a female tuxedo cat about a year old from a rescue place. I had just adopted a male 10 month old Maine Coon cat who acts normal. However, the first week she hid, only coming out to eat, or occasionally to sit on my lap (and purr). He would stay outside of her hidey hole, waiting to play. The second week she started coming out and attacked him several times. Now he is attacking her as often as she is attacking him. They are having hair-flying tussles. This is especially not appreciated at 5 am.

Also, she will suddenly viciously bite me when I am petting her. What is her problem? What is the cure?