Girls texting my BF

Ok so girls are always texting my BF and like flirting with him but he never flirts back and they are just so thirsty it's annoying and when I was single I was never like that if I knew he had a gf . I don't really tell at him front Bc he ignores them like he is suppose to but he never tells me who the girls are Bc he doesn't want me to  fight with them Bc if I found out who they are  I would probably kill them Bc my temper is always out of control Sometimes like I can be real petty. But I try not to be because those girls are very irrelevant . Should I be upset that he won't give me the names or should I ask him for them. Let me know if anybody else goes through the same thing