In　this　work,　nonlinear　vibration　of　a　happiness　model　with　commensurate　fractional-order　derivative　is　studied　analytically　and　ascertained　by　numerical　ones.　The　influences　of　the　impact　factor　of　memory　on　the　curves　of　external　frequency,　excitation　amplitude,　and　nonlinear　damping　coefficient　versus　maximal　amplitude　of　one＇s　response　to　external　events　are　presented　and　compared　by　introducing　the　polynomial　homotopy　continuation　technique.　The　result　shows　that　when　one＇s　experiences　have　more　and　more　influences　on　his/her　present　and　future　life,　the　vibration　amplitude　of　one＇s　response　to　external　events　becomes　bigger　and　bigger　under　the　same　external　events,　and　some　strong　nonlinear　phenomena　such　as　multiple　solutions,　bifurcation　and　peak　amplitude　with　the　increasing　impact　factor　of　memory　are　illustrated.　In　addition,　we　can　find　that　all　the　stable　solution　branches　obtained　match　well　with　the　numerical　ones.