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

Spatial nonhomogeneous periodic solutions induced by nonlocal prey competition in a diffusive predator-prey model