We　propose　a　ratio-dependent　Leslie–Gower　predator–prey　model　with　the　Allee　effect　and　fear　effect　on　prey　and　study　its　dynamic　behaviors.　On　the　basis　of　Poincaré　transformation　and　blow-up　method,　we　find　that　the　solutions　of　the　system　are　bounded　and　the　origin　is　attractive.　We　consider　the　existence　of　equilibria　and　analyze　their　stability.　The　bifurcation　of　the　system　was　analyzed,　including　the　occurrence　of　saddle–node　bifurcation,　degenerate　Hopf　bifurcation,　and　Bogdanov–Takens　bifurcation.　The　results　show　that　the　system　has　a　cusp　of　codimension　two　and　undergoes　a　Bogdanov–Takens　bifurcation　of　codimension　two.　Numerical　simulation　results　show　that　there　exist　two　limit　cycles　(the　inner　one　is　stable　and　the　outer　one　is　unstable)　and　a　Bogdanov–Takens　bifurcation　of　codimension　two　in　the　system.　©　2022　International　Association　for　Mathematics　and　Computers　in　Simulation　(IMACS)