In this work, we propose the used of the new viscoplastic ϕ-model to predict texture evolution in hcp metals. We will compare our results to those predicted by the viscoplastic self-consistent (VPSC) model. In both approaches, elasticity is neglected and crystallographic shearing is the only mechanism assumed to cause plastic deformation. Axisymmetric compression test is performed for different values of the parameters controlling the grain interaction strength for both approaches. Predicted stress-strain curves, texture evolution and slip activity are compared and conclusions are drawn. We show that the ϕ-model allows for correct prediction while it is much easier to formulate and to numerically implement.