Abstract: In this study, we study the asymptotical behavior of solutions for an Othmer-Stevens model with reproduction term. Making use of a function transformation and comparative method, we prove that the existence of global, blow-up or quenching solutions of the problem on different conditions and more interesting results are obtained. Under proper conditions, the species blow up while attractant quenches in finite time. The results of the paper not only verifies real biological phenomenon but also provides a theoretical groundwork for numerical problems of the chemotaxis model.