A　Leslie-type　predator–prey　system　with　Holling　II　functional　response　and　weak　Allee　effect　in　prey　is　analyzed　deeply　in　this　paper.　Through　rigorous　analysis,　the　system　can　undergo　a　series　of　bifurcations　such　as　cusp　type　nilpotent　bifurcation　of　codimension　4　and　a　degenerate　Hopf　bifurcation　of　codimension　up　to　3　as　the　parameters　vary.　Compared　with　the　system　without　Allee　effect,　it　can　be　concluded　that　weak　Allee　effect　can　induce　more　abundant　dynamics　and　bifurcations,　in　particular,　the　increase　in　the　number　of　equilibria　and　the　appearance　of　multiple　limit　cycles.　Moreover,　when　the　intensity　of　predation　is　too　high,　the　prey　affected　by　the　weak　Allee　effect　will　also　become　extinct,　and　eventually　lead　to　the　collapse　of　the　system.　Finally,　we　present　some　numerical　simulations　by　MATCONT　to　illustrate　the　existence　of　bifurcations　and　some　phase　portraits　of　the　system.　©　2025　Elsevier　Inc.