In　this　paper,　we　propose　two　kinds　of　single-species　models　with　swapping　migration　and　Allee　effect.　We　aim　to　discuss　how　the　Allee　effect　and　swapping　migration　influence　the　above　models’　dynamical　behaviours.　The　existence　and　stability　of　equilibria　are　addressed　under　weak　Allee　effect　and　strong　Allee　effect,　respectively.　Also　we　investigate　the　occurrence　of　saddle-node　bifurcation　which　doesn’t　exist　in　the　single-species　Logistic　model.　The　corresponding　dynamical　behaviors　are　richer　and　more　interesting　than　those　in　the　traditional　logistic　model　with　dispersal.　We　find　that　both　Allee　effect　and　dispersal,　especially　the　capacity　of　respective　patches　can　make　the　species　＇unstable＇.　©　(2023),　(International　Association　of　Engineers).　All　Rights　Reserved.