This　paper　concerns　with　a　discretization　of　a　continuous-time　amensalism　model　with　Allee　effect　on　the　first　species.　Compared　with　the　continuous　analog,　the　discrete　system　has　different　and　quite　rich　dynamical　behavior.　First,　we　obtain　the　existence　of　fixed　points　and　their　local　stabili-ties.　Then　we　confirm　the　occurrence　of　fold　bifurcation　and　period　doubling　bifurcation　by　using　the　center　manifold　theorem　and　bifurcation　theory.　Fol-lowed　is　a　hybrid　control　strategy　to　control　the　period-doubling　bifurcation　and　stabilize　unstable　periodic　orbits　embedded　in　the　complex　attractor.　Nu-merical　simulations　indicate　that　Allee　effect　is　beneficial　to　the　stability　of　the　first　species　to　a　certain　extent.　Moreover,　when　the　first　species　is　affected　by　Allee　effect,　solutions　can　quickly　approach　the　corresponding　fixed　point.