  The diffusive Holling-Tanner predator-prey model with no-flux boundary
conditions and nonlocal prey competition is considered in this paper. We show
the existence of spatial nonhomogeneous periodic solutions, which is induced by
nonlocal prey competition. In particular, the constant positive steady state
can lose the stability through Hopf bifurcation when the given parameter passes
through some critical values, and the bifurcating periodic solutions near such
values can be spatially nonhomogeneous and orbitally asymptotically stable.
This phenomenon is different from that in models without nonlocal effect.
