It’s not easy dating heart-throb singer Bruno Mars. Sources say his new girlfriend, model Jessica Caban, is “scared for her life” because Mars’ obsessive fans want her out of the picture. After Page Six revealed last week that the two were an item, her rep, Eunice Quinones, said the Puerto Rican beauty has been harassed on Twitter and Facebook by “haters” who say she’s not good enough for the pop star and are threatening her to stay away from Mars. Most recently, an angry female fan showed up outside of the Chelsea Room on Saturday to have a bust-up with Mars’ belle. As Caban snapped a picture outside with club manager Jeff Krauss, the crazed fan yelled, “I hate it when bitches don’t keep it real!” (That must have really hurt.) Quinones suspected that the woman found Caban from her Twitter account because she posts her whereabouts. Quinones told us, “From now on she’s getting a bodyguard when she goes to events.” A rep for Mars didn’t get back to us.