Of　interest　is　the　dynamics　of　the　discrete-time　amensalism　model　with　a　cover　on　the　first　species.　We　first　obtain　the　existence　and　stability　of　fixed　points　and　the　conditions　for　the　permanent　coexistence　of　two　species.　Then　we　demonstrate　the　occurrence　of　flip　bifurcation　by　using　the　central　manifold　theorem　and　bifurcation　theory.　A　hybrid　control　strategy　is　used　to　control　the　flip　bifurcation　and　stabilize　unstable　periodic　orbits　embedded　in　the　complex　attractor.　Numerical　simulation　verifies　the　feasibility　of　theoretical　analysis　and　reveals　some　novel　and　exciting　dynamic　phenomena.