Existence of wave trains for a diffusive age-structured predator-prey model with ivlev-type functional response

. A diffusive age-structured predator-prey model with Ivlev-type functional response is considered. Taking advantage of the Hopf bifurcation theorem for non-densely defined cauchy problem and the persistence of nondegenerate Hopf bifurcation for singularly perturbed second order equation, we prove the existence of periodic wave train solutions of our model. Finally, numerical simulations are carried out as supporting evidences of our analytical results.